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12220902540 = 22355711172113
BaseRepresentation
bin10110110000110110…
…00010110010001100
31011112200210011200000
423120123002302030
5200012022340130
65340400204300
7611562646320
oct133033026214
934480704600
1012220902540
115201420a60
122450909690
1311c9b59ca2
1483d0c1980
154b7d58260
hex2d86c2c8c

12220902540 has 864 divisors, whose sum is σ = 51364744704. Its totient is φ = 2368880640.

The previous prime is 12220902539. The next prime is 12220902559. The reversal of 12220902540 is 4520902221.

It is a happy number.

12220902540 is a `hidden beast` number, since 12 + 2 + 20 + 90 + 2 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 108149524 + ... + 108149636.

It is an arithmetic number, because the mean of its divisors is an integer number (59449936).

Almost surely, 212220902540 is an apocalyptic number.

12220902540 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 12220902540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25682372352).

12220902540 is an abundant number, since it is smaller than the sum of its proper divisors (39143842164).

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

12220902540 is a wasteful number, since it uses less digits than its factorization.

12220902540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12220902540 in words is "twelve billion, two hundred twenty million, nine hundred two thousand, five hundred forty".