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12213155755332 = 223272953672831663
BaseRepresentation
bin1011000110111001100011…
…0011110111010101000100
31121020120021211020101220100
42301232120303313111010
53100100020333132312
641550351333404100
72400241246024230
oct261563063672504
947216254211810
1012213155755332
113989630033774
121452ba9199630
136a790744616c
14303196db15c0
15162a5b3115dc
hexb1b98cf7544

12213155755332 has 576 divisors, whose sum is σ = 37898931732480. Its totient is φ = 3242783351808.

The previous prime is 12213155755313. The next prime is 12213155755369. The reversal of 12213155755332 is 23355755131221.

12213155755332 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 15 + 57 + 553 + 32 = 666.

It is a super-2 number, since 2×122131557553322 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 7344049533 + ... + 7344051195.

It is an arithmetic number, because the mean of its divisors is an integer number (65796756480).

Almost surely, 212213155755332 is an apocalyptic number.

12213155755332 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 12213155755332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18949465866240).

12213155755332 is an abundant number, since it is smaller than the sum of its proper divisors (25685775977148).

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

12213155755332 is a wasteful number, since it uses less digits than its factorization.

12213155755332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2107 counting only the distinct ones).

The product of its digits is 945000, while the sum is 45.

The spelling of 12213155755332 in words is "twelve trillion, two hundred thirteen billion, one hundred fifty-five million, seven hundred fifty-five thousand, three hundred thirty-two".