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121111001210112 = 2833719512184557
BaseRepresentation
bin11011100010011001011010…
…001101001001110100000000
3120212211002122220120011212120
4123202121122031021310000
5111333240312302210422
61105325343104324240
734336660340514444
oct3342313215116400
9525732586504776
10121111001210112
113565398390a191
1211700159313680
135276945464314
1421c9b37640824
15e00595d3445c
hex6e265a349d00

121111001210112 has 144 divisors (see below), whose sum is σ = 331213386481152. Its totient is φ = 39259092787200.

The previous prime is 121111001209999. The next prime is 121111001210159. The reversal of 121111001210112 is 211012100111121.

It is a super-2 number, since 2×1211110012101122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121111001210091 and 121111001210100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54347338 + ... + 56531894.

Almost surely, 2121111001210112 is an apocalyptic number.

121111001210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121111001210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165606693240576).

121111001210112 is an abundant number, since it is smaller than the sum of its proper divisors (210102385271040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121111001210112 is a wasteful number, since it uses less digits than its factorization.

121111001210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186564 (or 2186550 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 121111001210112 its reverse (211012100111121), we get a palindrome (332123101321233).

The spelling of 121111001210112 in words is "one hundred twenty-one trillion, one hundred eleven billion, one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 768 888 1184 1776 1951 2368 3552 3902 4736 5853 7104 7804 9472 11706 14208 15608 23412 28416 31216 46824 62432 72187 93648 124864 144374 187296 216561 249728 288748 374592 433122 499456 577496 749184 866244 1154992 1498368 1732488 2184557 2309984 3464976 4369114 4619968 6553671 6929952 8738228 9239936 13107342 13859904 17476456 18479872 26214684 27719808 34952912 52429368 55439616 69905824 80828609 104858736 139811648 161657218 209717472 242485827 279623296 323314436 419434944 484971654 559246592 646628872 838869888 969943308 1293257744 1677739776 1939886616 2586515488 3879773232 4262070707 5173030976 7759546464 8524141414 10346061952 12786212121 15519092928 17048282828 20692123904 25572424242 31038185856 34096565656 51144848484 62076371712 68193131312 102289696968 136386262624 157696616159 204579393936 272772525248 315393232318 409158787872 473089848477 545545050496 630786464636 818317575744 946179696954 1091090100992 1261572929272 1636635151488 1892359393908 2523145858544 3273270302976 3784718787816 5046291717088 7569437575632 10092583434176 15138875151264 20185166868352 30277750302528 40370333736704 60555500605056 121111001210112