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120011411312 = 241329193103087
BaseRepresentation
bin110111111000100111…
…1001100111101110000
3102110202210122100212122
41233301033030331300
53431240410130222
6131044341013412
711445665110352
oct1576117147560
9373683570778
10120011411312
1146995349661
121b3136b4268
13b417681420
145b46a770d2
1531c5eaba42
hex1bf13ccf70

120011411312 has 80 divisors (see below), whose sum is σ = 260387917440. Its totient is φ = 53202272256.

The previous prime is 120011411291. The next prime is 120011411321. The reversal of 120011411312 is 213114110021.

It is a super-2 number, since 2×1200114113122 (a number of 23 digits) contains 22 as substring.

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, 1112633 + ... + 1215719.

It is an arithmetic number, because the mean of its divisors is an integer number (3254848968).

Almost surely, 2120011411312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120011411312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130193958720).

120011411312 is an abundant number, since it is smaller than the sum of its proper divisors (140376506128).

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

120011411312 is a wasteful number, since it uses less digits than its factorization.

120011411312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103330 (or 103324 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 120011411312 its reverse (213114110021), we get a palindrome (333125521333).

The spelling of 120011411312 in words is "one hundred twenty billion, eleven million, four hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 193 208 232 377 386 464 754 772 1508 1544 2509 3016 3088 5018 5597 6032 10036 11194 20072 22388 40144 44776 72761 89552 103087 145522 206174 291044 412348 582088 824696 1164176 1340131 1649392 2680262 2989523 5360524 5979046 10721048 11958092 19895791 21442096 23916184 38863799 39791582 47832368 77727598 79583164 155455196 159166328 258645283 310910392 318332656 517290566 576977939 621820784 1034581132 1153955878 2069162264 2307911756 4138324528 4615823512 7500713207 9231647024 15001426414 30002852828 60005705656 120011411312