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120712152 = 233112915767
BaseRepresentation
bin1110011000111…
…10101111011000
322102010210221110
413030132233120
5221400242102
615551140320
72664015321
oct714365730
9272123843
10120712152
1162158910
12345146a0
131c016112
1412063448
15a8e686c
hex731ebd8

120712152 has 64 divisors (see below), whose sum is σ = 340588800. Its totient is φ = 35315840.

The previous prime is 120712133. The next prime is 120712153. The reversal of 120712152 is 251217021.

It is a super-2 number, since 2×1207121522 = 29142847280942208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120712153) 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, 228 + ... + 15539.

It is an arithmetic number, because the mean of its divisors is an integer number (5321700).

Almost surely, 2120712152 is an apocalyptic number.

120712152 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 120712152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170294400).

120712152 is an abundant number, since it is smaller than the sum of its proper divisors (219876648).

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

120712152 is a wasteful number, since it uses less digits than its factorization.

120712152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15816 (or 15812 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 120712152 is about 10986.9082093189. The cubic root of 120712152 is about 494.2162231566.

Adding to 120712152 its reverse (251217021), we get a palindrome (371929173).

The spelling of 120712152 in words is "one hundred twenty million, seven hundred twelve thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 3828 7656 15767 31534 47301 63068 94602 126136 173437 189204 346874 378408 457243 520311 693748 914486 1040622 1371729 1387496 1828972 2081244 2743458 3657944 4162488 5029673 5486916 10059346 10973832 15089019 20118692 30178038 40237384 60356076 120712152