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12936212352 = 273372918439
BaseRepresentation
bin11000000110000111…
…01110111110000000
31020101112202200021000
430003003232332000
5202443132243402
65535351532000
7635366663550
oct140303567600
936345680230
1012936212352
115539177898
12261038a000
1312b20c9a2b
148aa0c3160
1550aa51c1c
hex3030eef80

12936212352 has 256 divisors, whose sum is σ = 45141120000. Its totient is φ = 3568416768.

The previous prime is 12936212327. The next prime is 12936212353. The reversal of 12936212352 is 25321263921.

12936212352 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 621 + 23 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12936212353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 692349 + ... + 710787.

It is an arithmetic number, because the mean of its divisors is an integer number (176332500).

Almost surely, 212936212352 is an apocalyptic number.

12936212352 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 12936212352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22570560000).

12936212352 is an abundant number, since it is smaller than the sum of its proper divisors (32204907648).

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

12936212352 is a wasteful number, since it uses less digits than its factorization.

12936212352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18498 (or 18480 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The spelling of 12936212352 in words is "twelve billion, nine hundred thirty-six million, two hundred twelve thousand, three hundred fifty-two".