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120413124 = 223213257293
BaseRepresentation
bin1110010110101…
…01101111000100
322101120121202100
413023111233010
5221311204444
615540512100
72661331446
oct713255704
9271517670
10120413124
1161a74187
12343ab630
131bc3cc90
1411dc6496
15a887e69
hex72d5bc4

120413124 has 36 divisors (see below), whose sum is σ = 327792556. Its totient is φ = 37050048.

The previous prime is 120413123. The next prime is 120413131. The reversal of 120413124 is 421314021.

It can be written as a sum of positive squares in 2 ways, for example, as 36360900 + 84052224 = 6030^2 + 9168^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 120413097 and 120413106.

It is not an unprimeable number, because it can be changed into a prime (120413123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128179 + ... + 129114.

Almost surely, 2120413124 is an apocalyptic number.

It is an amenable number.

120413124 is an abundant number, since it is smaller than the sum of its proper divisors (207379432).

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

120413124 is a wasteful number, since it uses less digits than its factorization.

120413124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257316 (or 257311 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 120413124 is about 10973.2913931965. The cubic root of 120413124 is about 493.8077951040.

Adding to 120413124 its reverse (421314021), we get a palindrome (541727145).

The spelling of 120413124 in words is "one hundred twenty million, four hundred thirteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 257293 514586 771879 1029172 1543758 2315637 3087516 3344809 4631274 6689618 9262548 10034427 13379236 20068854 30103281 40137708 60206562 120413124