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12142572192 = 253314053903
BaseRepresentation
bin10110100111100000…
…01111001010100000
31011100020101120122000
423103300033022200
5144331444302232
65324521244000
7606622106052
oct132360171240
934306346560
1012142572192
115171190233
12242a633600
1311b686287a
148329318d2
154b103427c
hex2d3c0f2a0

12142572192 has 48 divisors (see below), whose sum is σ = 35415838080. Its totient is φ = 4047523776.

The previous prime is 12142572191. The next prime is 12142572227. The reversal of 12142572192 is 29127524121.

It is a happy number.

12142572192 is a `hidden beast` number, since 1 + 214 + 257 + 2 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12142572191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7026088 + ... + 7027815.

It is an arithmetic number, because the mean of its divisors is an integer number (737829960).

Almost surely, 212142572192 is an apocalyptic number.

12142572192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12142572192 is an abundant number, since it is smaller than the sum of its proper divisors (23273265888).

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

12142572192 is a wasteful number, since it uses less digits than its factorization.

12142572192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14053922 (or 14053908 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The spelling of 12142572192 in words is "twelve billion, one hundred forty-two million, five hundred seventy-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 14053903 28107806 42161709 56215612 84323418 112431224 126485127 168646836 224862448 252970254 337293672 379455381 449724896 505940508 674587344 758910762 1011881016 1349174688 1517821524 2023762032 3035643048 4047524064 6071286096 12142572192