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120972285 = 345771601
BaseRepresentation
bin1110011010111…
…10001111111101
322102122000210000
413031132033331
5221432103120
620000504513
72666150610
oct715361775
9272560700
10120972285
11623162a5
123461b139
131c0a7645
14120d0177
15a948990
hex735e3fd

120972285 has 80 divisors (see below), whose sum is σ = 251741952. Its totient is φ = 54432000.

The previous prime is 120972283. The next prime is 120972301. The reversal of 120972285 is 582279021.

It is not a de Polignac number, because 120972285 - 21 = 120972283 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120972283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 200985 + ... + 201585.

Almost surely, 2120972285 is an apocalyptic number.

120972285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120972285 is an abundant number, since it is smaller than the sum of its proper divisors (130769667).

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

120972285 is an equidigital number, since it uses as much as digits as its factorization.

120972285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 120972285 is about 10998.7401551269. The cubic root of 120972285 is about 494.5709781318.

The spelling of 120972285 in words is "one hundred twenty million, nine hundred seventy-two thousand, two hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 71 81 105 135 189 213 315 355 405 497 567 601 639 945 1065 1491 1803 1917 2485 2835 3005 3195 4207 4473 5409 5751 7455 9015 9585 12621 13419 16227 21035 22365 27045 28755 37863 40257 42671 48681 63105 67095 81135 113589 128013 189315 201285 213355 243405 298697 340767 384039 567945 640065 896091 1152117 1493485 1703835 1920195 2688273 3456351 4480455 5760585 8064819 13441365 17281755 24194457 40324095 120972285