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12220002021000 = 2335347311278671
BaseRepresentation
bin1011000111010011000011…
…1000010010111010001000
31121021012221221200201211110
42301310300320102322020
53100203031004133000
641553442540530320
72400603020231364
oct261646070227210
947235857621743
1012220002021000
113991523625474
121454399b509a0
136a8458943537
143036463502a4
15162d0c3ae850
hexb1d30e12e88

12220002021000 has 256 divisors, whose sum is σ = 39062947921920. Its totient is φ = 3179067360000.

The previous prime is 12220002020983. The next prime is 12220002021013. The reversal of 12220002021000 is 12020002221.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 63 ways as a sum of consecutive naturals, for example, 43711665 + ... + 43990335.

It is an arithmetic number, because the mean of its divisors is an integer number (152589640320).

Almost surely, 212220002021000 is an apocalyptic number.

12220002021000 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 12220002021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19531473960960).

12220002021000 is an abundant number, since it is smaller than the sum of its proper divisors (26842945900920).

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

12220002021000 is a wasteful number, since it uses less digits than its factorization.

12220002021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279053 (or 279039 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12220002021000 its reverse (12020002221), we get a palindrome (12232022023221).

The spelling of 12220002021000 in words is "twelve trillion, two hundred twenty billion, two million, twenty-one thousand".