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121467990312 = 23334323115659
BaseRepresentation
bin111000100100000001…
…1100111000100101000
3102121112022110020122000
41301020003213010220
53442231301142222
6131445052331000
711530042611354
oct1611003470450
9377468406560
10121467990312
1147572571a59
121b65b473a60
13b5ba37c9a6
145c442b6464
15325dcca9ac
hex1c480e7128

121467990312 has 128 divisors (see below), whose sum is σ = 345468288000. Its totient is φ = 39523619520.

The previous prime is 121467990253. The next prime is 121467990353. The reversal of 121467990312 is 213099764121.

121467990312 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-2 number, since 2×1214679903122 (a number of 23 digits) contains 22 as substring.

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, 21461739 + ... + 21467397.

It is an arithmetic number, because the mean of its divisors is an integer number (2698971000).

Almost surely, 2121467990312 is an apocalyptic number.

121467990312 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 121467990312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172734144000).

121467990312 is an abundant number, since it is smaller than the sum of its proper divisors (224000297688).

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

121467990312 is a wasteful number, since it uses less digits than its factorization.

121467990312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8028 (or 8018 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 121467990312 in words is "one hundred twenty-one billion, four hundred sixty-seven million, nine hundred ninety thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1161 1548 2311 2322 3096 4622 4644 5659 6933 9244 9288 11318 13866 16977 18488 20799 22636 27732 33954 41598 45272 50931 55464 62397 67908 83196 99373 101862 124794 135816 152793 166392 198746 203724 243337 249588 298119 305586 397492 407448 486674 499176 596238 611172 730011 794984 894357 973348 1192476 1222344 1460022 1788714 1946696 2190033 2384952 2683071 2920044 3577428 4380066 5366142 5840088 6570099 7154856 8760132 10732284 13077949 13140198 17520264 21464568 26155898 26280396 39233847 52311796 52560792 78467694 104623592 117701541 156935388 235403082 313870776 353104623 470806164 562351807 706209246 941612328 1124703614 1412418492 1687055421 2249407228 2824836984 3374110842 4498814456 5061166263 6748221684 10122332526 13496443368 15183498789 20244665052 30366997578 40489330104 60733995156 121467990312