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120444012 = 223213614219
BaseRepresentation
bin1110010110111…
…01010001101100
322101122012010100
413023131101230
5221313202022
615541311100
72661520503
oct713352154
9271565110
10120444012
1161a95407
1234405490
131bc51060
1411dd383a
15a8921ac
hex72dd46c

120444012 has 72 divisors (see below), whose sum is σ = 333329360. Its totient is φ = 36443520.

The previous prime is 120443993. The next prime is 120444013. The reversal of 120444012 is 210444021.

It is a super-2 number, since 2×1204440122 = 29013520053312288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120444013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26439 + ... + 30657.

Almost surely, 2120444012 is an apocalyptic number.

120444012 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 120444012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166664680).

120444012 is an abundant number, since it is smaller than the sum of its proper divisors (212885348).

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

120444012 is a wasteful number, since it uses less digits than its factorization.

120444012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4303 (or 4298 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 120444012 is about 10974.6987202383. The cubic root of 120444012 is about 493.8500148407.

Adding to 120444012 its reverse (210444021), we get a palindrome (330888033).

Subtracting 120444012 from its reverse (210444021), we obtain a palindrome (90000009).

The spelling of 120444012 in words is "one hundred twenty million, four hundred forty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 61 78 117 122 156 183 234 244 366 468 549 732 793 1098 1586 2196 2379 3172 4219 4758 7137 8438 9516 12657 14274 16876 25314 28548 37971 50628 54847 75942 109694 151884 164541 219388 257359 329082 493623 514718 658164 772077 987246 1029436 1544154 1974492 2316231 3088308 3345667 4632462 6691334 9264924 10037001 13382668 20074002 30111003 40148004 60222006 120444012