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12212139312 = 243417678273
BaseRepresentation
bin10110101111110011…
…00111010100110000
31011112002021221210000
423113321213110300
5200002301424222
65335444310000
7611425320462
oct132771472460
934462257700
1012212139312
1151a748601a
1224499a2300
1311c80ac349
1483bc80132
154b71c69ac
hex2d7e67530

12212139312 has 200 divisors, whose sum is σ = 37987787376. Its totient is φ = 3773620224.

The previous prime is 12212139307. The next prime is 12212139389. The reversal of 12212139312 is 21393121221.

12212139312 is a `hidden beast` number, since 1 + 2 + 212 + 139 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1472008 + ... + 1480280.

Almost surely, 212212139312 is an apocalyptic number.

12212139312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212139312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18993893688).

12212139312 is an abundant number, since it is smaller than the sum of its proper divisors (25775648064).

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

12212139312 is a wasteful number, since it uses less digits than its factorization.

12212139312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8377 (or 8362 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The spelling of 12212139312 in words is "twelve billion, two hundred twelve million, one hundred thirty-nine thousand, three hundred twelve".