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120957227552 = 257287832
BaseRepresentation
bin111000010100110011…
…1001101001000100000
3102120012201100210211202
41300221213031020200
53440210022240202
6131322245100332
711511301320200
oct1605147151040
9376181323752
10120957227552
1147330224377
121b5383b76a8
13b5385c9ac5
145bd651c400
15322e038802
hex1c299cd220

120957227552 has 54 divisors (see below), whose sum is σ = 277045193943. Its totient is φ = 51832909632.

The previous prime is 120957227537. The next prime is 120957227569. The reversal of 120957227552 is 255722759021.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

120957227552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 60478613776 + 60478613776 = 245924^2 + 245924^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=245924.

It is a junction number, because it is equal to n+sod(n) for n = 120957227497 and 120957227506.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13767353 + ... + 13776135.

Almost surely, 2120957227552 is an apocalyptic number.

It is an amenable number.

120957227552 is an abundant number, since it is smaller than the sum of its proper divisors (156087966391).

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

120957227552 is an frugal number, since it uses more digits than its factorization.

120957227552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17590 (or 8792 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 47.

The spelling of 120957227552 in words is "one hundred twenty billion, nine hundred fifty-seven million, two hundred twenty-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 8783 17566 35132 61481 70264 122962 140528 245924 281056 430367 491848 860734 983696 1721468 1967392 3442936 6885872 13771744 77141089 154282178 308564356 539987623 617128712 1079975246 1234257424 2159950492 2468514848 3779913361 4319900984 7559826722 8639801968 15119653444 17279603936 30239306888 60478613776 120957227552