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120608412 = 223233791153
BaseRepresentation
bin1110011000001…
…01011010011100
322101221112122020
413030011122130
5221333432122
615545020140
72663104011
oct714053234
9271845566
10120608412
1162097981
1234484650
131bcaab32
1412037708
15a8c5c5c
hex730569c

120608412 has 48 divisors (see below), whose sum is σ = 294685440. Its totient is φ = 38320128.

The previous prime is 120608401. The next prime is 120608413. The reversal of 120608412 is 214806021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120608413) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 104028 + ... + 105180.

It is an arithmetic number, because the mean of its divisors is an integer number (6139280).

Almost surely, 2120608412 is an apocalyptic number.

120608412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120608412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147342720).

120608412 is an abundant number, since it is smaller than the sum of its proper divisors (174077028).

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

120608412 is a wasteful number, since it uses less digits than its factorization.

120608412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 120608412 is about 10982.1861211691. The cubic root of 120608412 is about 494.0746061382.

The spelling of 120608412 in words is "one hundred twenty million, six hundred eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 379 758 1137 1153 1516 2274 2306 3459 4548 4612 6918 8717 13836 17434 26151 26519 34868 52302 53038 79557 104604 106076 159114 318228 436987 873974 1310961 1747948 2621922 5243844 10050701 20101402 30152103 40202804 60304206 120608412