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12220000021000 = 2353414327125577
BaseRepresentation
bin1011000111010011000011…
…0000101010101000001000
31121021012221210221010100101
42301310300300222220020
53100203030001133000
641553442430015144
72400602664231442
oct261646060525010
947235853833311
1012220000021000
113991522489882
1214543993474b4
136a84583c30c5
14303645d8d492
15162d0c116e6a
hexb1d30c2aa08

12220000021000 has 256 divisors, whose sum is σ = 30085228293120. Its totient is φ = 4640509440000.

The previous prime is 12220000020961. The next prime is 12220000021037. The reversal of 12220000021000 is 12000002221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 477760212 + ... + 477785788.

It is an arithmetic number, because the mean of its divisors is an integer number (117520423020).

Almost surely, 212220000021000 is an apocalyptic number.

12220000021000 is a gapful number since it is divisible by the number (10) 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 12220000021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15042614146560).

12220000021000 is an abundant number, since it is smaller than the sum of its proper divisors (17865228272120).

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

12220000021000 is a wasteful number, since it uses less digits than its factorization.

12220000021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25953 (or 25939 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12220000021000 its reverse (12000002221), we get a palindrome (12232000023221).

The spelling of 12220000021000 in words is "twelve trillion, two hundred twenty billion, twenty-one thousand".