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120135125552 = 241311328318061
BaseRepresentation
bin110111111100010011…
…1001000101000110000
3102111002102102200220112
41233320213020220300
53432014043004202
6131104520400452
711452026501311
oct1577047105060
9374072380815
10120135125552
1146a49167a32
121b349016128
13b4371a8b10
145b5927c608
1531d1c97b52
hex1bf89c8a30

120135125552 has 80 divisors (see below), whose sum is σ = 253792485408. Its totient is φ = 54759075840.

The previous prime is 120135125527. The next prime is 120135125557. The reversal of 120135125552 is 255521531021.

120135125552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (120135125557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6642602 + ... + 6660662.

Almost surely, 2120135125552 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 120135125552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126896242704).

120135125552 is an abundant number, since it is smaller than the sum of its proper divisors (133657359856).

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

120135125552 is a wasteful number, since it uses less digits than its factorization.

120135125552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18478 (or 18472 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 32.

Adding to 120135125552 its reverse (255521531021), we get a palindrome (375656656573).

The spelling of 120135125552 in words is "one hundred twenty billion, one hundred thirty-five million, one hundred twenty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 113 208 226 283 452 566 904 1132 1469 1808 2264 2938 3679 4528 5876 7358 11752 14716 18061 23504 29432 31979 36122 58864 63958 72244 127916 144488 234793 255832 288976 415727 469586 511664 831454 939172 1662908 1878344 2040893 3325816 3756688 4081786 5111263 6651632 8163572 10222526 16327144 20445052 26531609 32654288 40890104 53063218 66446419 81780208 106126436 132892838 212252872 265785676 424505744 531571352 577572719 1063142704 1155145438 2310290876 4620581752 7508445347 9241163504 15016890694 30033781388 60067562776 120135125552