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120133220112 = 24326712451619
BaseRepresentation
bin110111111100001111…
…1110111011100010000
3102111002021211220010200
41233320133313130100
53432013101020422
6131104411455200
711452004344143
oct1577037673420
9374067756120
10120133220112
1146a48086394
121b348457500
13b43698c739
145b58d0405a
1531d1a1d2ac
hex1bf87f7710

120133220112 has 60 divisors (see below), whose sum is σ = 341224194480. Its totient is φ = 39446725824.

The previous prime is 120133220093. The next prime is 120133220117. The reversal of 120133220112 is 211022331021.

120133220112 is a `hidden beast` number, since 1 + 201 + 332 + 20 + 112 = 666.

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 (120133220117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6216162 + ... + 6235457.

It is an arithmetic number, because the mean of its divisors is an integer number (5687069908).

Almost surely, 2120133220112 is an apocalyptic number.

120133220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120133220112 is an abundant number, since it is smaller than the sum of its proper divisors (221090974368).

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

120133220112 is a wasteful number, since it uses less digits than its factorization.

120133220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12451700 (or 12451691 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120133220112 its reverse (211022331021), we get a palindrome (331155551133).

The spelling of 120133220112 in words is "one hundred twenty billion, one hundred thirty-three million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2412 3216 4824 9648 12451619 24903238 37354857 49806476 74709714 99612952 112064571 149419428 199225904 224129142 298838856 448258284 597677712 834258473 896516568 1668516946 1793033136 2502775419 3337033892 5005550838 6674067784 7508326257 10011101676 13348135568 15016652514 20022203352 30033305028 40044406704 60066610056 120133220112