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12220021000 = 2353111959991
BaseRepresentation
bin10110110000101111…
…01011100100001000
31011112122010101102101
423120113223210020
5200011311133000
65340325243144
7611552315245
oct133027534410
934478111371
1012220021000
115200979710
1224505634b4
1311c990b975
1483cd325cc
154b7c31e6a
hex2d85eb908

12220021000 has 256 divisors, whose sum is σ = 33426432000. Its totient is φ = 4134240000.

The previous prime is 12220020997. The next prime is 12220021001. The reversal of 12220021000 is 12002221.

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

It is not an unprimeable number, because it can be changed into a prime (12220021001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12330505 + ... + 12331495.

It is an arithmetic number, because the mean of its divisors is an integer number (130572000).

Almost surely, 212220021000 is an apocalyptic number.

12220021000 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 12220021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713216000).

12220021000 is an abundant number, since it is smaller than the sum of its proper divisors (21206411000).

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

12220021000 is a wasteful number, since it uses less digits than its factorization.

12220021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1087 counting only the distinct ones).

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

Adding to 12220021000 its reverse (12002221), we get a palindrome (12232023221).

The spelling of 12220021000 in words is "twelve billion, two hundred twenty million, twenty-one thousand".