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120120112 = 2471935557
BaseRepresentation
bin1110010100011…
…10001100110000
322101000201211001
413022032030300
5221222320422
615530331344
72656001260
oct712161460
9271021731
10120120112
1161894022
1234289b54
131bb697b8
1411d4b7a0
15a82b227
hex728e330

120120112 has 40 divisors (see below), whose sum is σ = 267406496. Its totient is φ = 51204096.

The previous prime is 120120097. The next prime is 120120127. The reversal of 120120112 is 211021021.

It is an interprime number because it is at equal distance from previous prime (120120097) and next prime (120120127).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18838 + ... + 24394.

Almost surely, 2120120112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133703248).

120120112 is an abundant number, since it is smaller than the sum of its proper divisors (147286384).

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

120120112 is a wasteful number, since it uses less digits than its factorization.

120120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5765 (or 5759 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 120120112 is about 10959.9321165781. The cubic root of 120120112 is about 493.4069275810.

Adding to 120120112 its reverse (211021021), we get a palindrome (331141133).

Subtracting 120120112 from its reverse (211021021), we obtain a palindrome (90900909).

The spelling of 120120112 in words is "one hundred twenty million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 112 193 386 772 1351 1544 2702 3088 5404 5557 10808 11114 21616 22228 38899 44456 77798 88912 155596 311192 622384 1072501 2145002 4290004 7507507 8580008 15015014 17160016 30030028 60060056 120120112