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12020222100 = 223523167101191
BaseRepresentation
bin10110011000111011…
…00000100010010100
31011000201011112212010
423030131200202110
5144104134101400
65304431024220
7603605126205
oct131435404224
934021145763
1012020222100
115109113857
1223b566b070
1311973c5073
148205a35ac
154a5417450
hex2cc760894

12020222100 has 288 divisors, whose sum is σ = 36989632512. Its totient is φ = 3009600000.

The previous prime is 12020222083. The next prime is 12020222117. The reversal of 12020222100 is 122202021.

It is an interprime number because it is at equal distance from previous prime (12020222083) and next prime (12020222117).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62933005 + ... + 62933195.

It is an arithmetic number, because the mean of its divisors is an integer number (128436224).

Almost surely, 212020222100 is an apocalyptic number.

12020222100 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 12020222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18494816256).

12020222100 is an abundant number, since it is smaller than the sum of its proper divisors (24969410412).

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

12020222100 is a wasteful number, since it uses less digits than its factorization.

12020222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 400 counting only the distinct ones).

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

Adding to 12020222100 its reverse (122202021), we get a palindrome (12142424121).

The spelling of 12020222100 in words is "twelve billion, twenty million, two hundred twenty-two thousand, one hundred".