Search a number
-
+
120212112090 = 2357311682421
BaseRepresentation
bin110111111110100110…
…0110100001011011010
3102111021210022000120210
41233331030310023122
53432143300041330
6131120310431550
711453653044000
oct1577514641332
9374253260523
10120212112090
1146a88670074
121b36a9625b6
13b44a122695
145b6559ca70
1531d89038b0
hex1bfd3342da

120212112090 has 64 divisors (see below), whose sum is σ = 336453753600. Its totient is φ = 27477051840.

The previous prime is 120212112089. The next prime is 120212112157. The reversal of 120212112090 is 90211212021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5830921 + ... + 5851500.

It is an arithmetic number, because the mean of its divisors is an integer number (5257089900).

Almost surely, 2120212112090 is an apocalyptic number.

120212112090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120212112090 is an abundant number, since it is smaller than the sum of its proper divisors (216241641510).

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

120212112090 is a wasteful number, since it uses less digits than its factorization.

120212112090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11682452 (or 11682438 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 120212112090 in words is "one hundred twenty billion, two hundred twelve million, one hundred twelve thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 490 686 735 1029 1470 1715 2058 3430 5145 10290 11682421 23364842 35047263 58412105 70094526 81776947 116824210 163553894 175236315 245330841 350472630 408884735 490661682 572438629 817769470 1144877258 1226654205 1717315887 2453308410 2862193145 3434631774 4007070403 5724386290 8014140806 8586579435 12021211209 17173158870 20035352015 24042422418 40070704030 60106056045 120212112090