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12213211331232 = 2533313715778497
BaseRepresentation
bin1011000110111001110000…
…0111110111101010100000
31121020120102200210221201000
42301232130013313222200
53100100124100044412
641550401040512000
72400242522304132
oct261563407675240
947216380727630
1012213211331232
11398965944276a
12145300391b600
136a7915b04502
143031a051b052
15162a6113d4dc
hexb1b9c1f7aa0

12213211331232 has 384 divisors, whose sum is σ = 38005792634880. Its totient is φ = 3808801751040.

The previous prime is 12213211331227. The next prime is 12213211331273. The reversal of 12213211331232 is 23213311231221.

12213211331232 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 321 + 1 + 331 + 2 + 3 + 2 = 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.

It is a junction number, because it is equal to n+sod(n) for n = 12213211331196 and 12213211331205.

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 63 ways as a sum of consecutive naturals, for example, 155549008 + ... + 155627504.

It is an arithmetic number, because the mean of its divisors is an integer number (98973418320).

Almost surely, 212213211331232 is an apocalyptic number.

12213211331232 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 12213211331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19002896317440).

12213211331232 is an abundant number, since it is smaller than the sum of its proper divisors (25792581303648).

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

12213211331232 is a wasteful number, since it uses less digits than its factorization.

12213211331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78741 (or 78727 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 12213211331232 its reverse (23213311231221), we get a palindrome (35426522562453).

The spelling of 12213211331232 in words is "twelve trillion, two hundred thirteen billion, two hundred eleven million, three hundred thirty-one thousand, two hundred thirty-two".