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12222021000 = 2335372294761
BaseRepresentation
bin10110110000111110…
…10011110110001000
31011112202212222220110
423120133103312020
5200012314133000
65340440154320
7611605315200
oct133037236610
934482788813
1012222021000
115202015302
1224511689a0
1311ca15c0b7
1483d2d3400
154b7ec9850
hex2d87d3d88

12222021000 has 768 divisors, whose sum is σ = 47632665600. Its totient is φ = 2596608000.

The previous prime is 12222020999. The next prime is 12222021023. The reversal of 12222021000 is 12022221.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 200360970 + ... + 200361030.

It is an arithmetic number, because the mean of its divisors is an integer number (62021700).

Almost surely, 212222021000 is an apocalyptic number.

12222021000 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 12222021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23816332800).

12222021000 is an abundant number, since it is smaller than the sum of its proper divisors (35410644600).

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

12222021000 is a wasteful number, since it uses less digits than its factorization.

12222021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 154 counting only the distinct ones).

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

Adding to 12222021000 its reverse (12022221), we get a palindrome (12234043221).

The spelling of 12222021000 in words is "twelve billion, two hundred twenty-two million, twenty-one thousand".