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120971412 = 223229115873
BaseRepresentation
bin1110011010111…
…10000010010100
322102121222120200
413031132002110
5221432041122
620000500500
72666145222
oct715360224
9272558520
10120971412
1162315681
123461a730
131c0a7123
14120cdb12
15a9485ac
hex735e094

120971412 has 36 divisors (see below), whose sum is σ = 316336020. Its totient is φ = 38932992.

The previous prime is 120971401. The next prime is 120971449. The reversal of 120971412 is 214179021.

It can be written as a sum of positive squares in 2 ways, for example, as 90897156 + 30074256 = 9534^2 + 5484^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56893 + ... + 58980.

Almost surely, 2120971412 is an apocalyptic number.

120971412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120971412 is an abundant number, since it is smaller than the sum of its proper divisors (195364608).

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

120971412 is a wasteful number, since it uses less digits than its factorization.

120971412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115912 (or 115907 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 120971412 is about 10998.7004686917. The cubic root of 120971412 is about 494.5697884337.

The spelling of 120971412 in words is "one hundred twenty million, nine hundred seventy-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 115873 231746 347619 463492 695238 1042857 1390476 2085714 3360317 4171428 6720634 10080951 13441268 20161902 30242853 40323804 60485706 120971412