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121102220112 = 2433771979901
BaseRepresentation
bin111000011001001000…
…0010011101101010000
3102120120211012012020120
41300302100103231100
53441004132020422
6131344504510240
711515011613056
oct1606220235520
9376524165216
10121102220112
11473a5056435
121b578a7b380
13b55c664713
145c0b8a21d6
15323bb2945c
hex1c32413b50

121102220112 has 160 divisors (see below), whose sum is σ = 329220428544. Its totient is φ = 38320128000.

The previous prime is 121102220077. The next prime is 121102220191. The reversal of 121102220112 is 211022201121.

121102220112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1211022201123 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121102220091 and 121102220100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12226362 + ... + 12236262.

Almost surely, 2121102220112 is an apocalyptic number.

121102220112 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 121102220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164610214272).

121102220112 is an abundant number, since it is smaller than the sum of its proper divisors (208118208432).

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

121102220112 is a wasteful number, since it uses less digits than its factorization.

121102220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10117 (or 10111 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121102220112 its reverse (211022201121), we get a palindrome (332124421233).

The spelling of 121102220112 in words is "one hundred twenty-one billion, one hundred two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 71 74 97 111 142 148 194 213 222 284 291 296 388 426 444 568 582 592 776 852 888 1136 1164 1552 1704 1776 2328 2627 3408 3589 4656 5254 6887 7178 7881 9901 10508 10767 13774 14356 15762 19802 20661 21016 21534 27548 28712 29703 31524 39604 41322 42032 43068 55096 57424 59406 63048 79208 82644 86136 110192 118812 126096 158416 165288 172272 237624 254819 330576 366337 475248 509638 702971 732674 764457 960397 1019276 1099011 1405942 1465348 1528914 1920794 2038552 2108913 2198022 2811884 2881191 2930696 3057828 3841588 4077104 4217826 4396044 5623768 5762382 5861392 6115656 7683176 8435652 8792088 11247536 11524764 12231312 15366352 16871304 17584176 23049528 26009927 33742608 35534689 46099056 52019854 68188187 71069378 78029781 104039708 106604067 136376374 142138756 156059562 204564561 208079416 213208134 272752748 284277512 312119124 409129122 416158832 426416268 545505496 568555024 624238248 818258244 852832536 1091010992 1248476496 1636516488 1705665072 2522962919 3273032976 5045925838 7568888757 10091851676 15137777514 20183703352 30275555028 40367406704 60551110056 121102220112