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12220211136 = 263723074231
BaseRepresentation
bin10110110000110000…
…11001111111000000
31011112122111001020110
423120120121333000
5200011333224021
65340333311320
7611554036500
oct133030317700
934478431213
1012220211136
115200a99551
122450635540
1311c9977383
1483cd81a00
154b7c6d476
hex2d8619fc0

12220211136 has 168 divisors, whose sum is σ = 37742871936. Its totient is φ = 3479293440.

The previous prime is 12220211123. The next prime is 12220211141. The reversal of 12220211136 is 63111202221.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2886141 + ... + 2890371.

It is an arithmetic number, because the mean of its divisors is an integer number (224659952).

Almost surely, 212220211136 is an apocalyptic number.

12220211136 is a gapful number since it is divisible by the number (16) 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 12220211136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18871435968).

12220211136 is an abundant number, since it is smaller than the sum of its proper divisors (25522660800).

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

12220211136 is a wasteful number, since it uses less digits than its factorization.

12220211136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4567 (or 4550 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12220211136 its reverse (63111202221), we get a palindrome (75331413357).

The spelling of 12220211136 in words is "twelve billion, two hundred twenty million, two hundred eleven thousand, one hundred thirty-six".