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12021200100 = 223252713373967
BaseRepresentation
bin10110011001000010…
…01111010011100100
31011000210000020102100
423030201033103210
5144104411400400
65304504012100
7603616341420
oct131441172344
934023006370
1012021200100
115109721618
1223b5a61030
131197678270
14820779b80
154a555c100
hex2cc84f4e4

12021200100 has 432 divisors, whose sum is σ = 47640506368. Its totient is φ = 2467169280.

The previous prime is 12021200077. The next prime is 12021200111. The reversal of 12021200100 is 100212021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3028317 + ... + 3032283.

Almost surely, 212021200100 is an apocalyptic number.

12021200100 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 12021200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23820253184).

12021200100 is an abundant number, since it is smaller than the sum of its proper divisors (35619306268).

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

12021200100 is a wasteful number, since it uses less digits than its factorization.

12021200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4044 (or 4034 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12021200100 its reverse (100212021), we get a palindrome (12121412121).

The spelling of 12021200100 in words is "twelve billion, twenty-one million, two hundred thousand, one hundred".