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12010202100 = 22365213192329
BaseRepresentation
bin10110010111101110…
…10010001111110100
31011000000022111000000
423023313102033310
5144044102431400
65303432151300
7603424014321
oct131367221764
934000274000
1012010202100
11510349a666
1223b2238530
1311952c7380
1481d115b48
154a45d8600
hex2cbdd23f4

12010202100 has 1008 divisors, whose sum is σ = 47815689600. Its totient is φ = 2586608640.

The previous prime is 12010202069. The next prime is 12010202101. The reversal of 12010202100 is 120201021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010202101) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 414144886 + ... + 414144914.

It is an arithmetic number, because the mean of its divisors is an integer number (47436200).

Almost surely, 212010202100 is an apocalyptic number.

12010202100 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 12010202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23907844800).

12010202100 is an abundant number, since it is smaller than the sum of its proper divisors (35805487500).

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

12010202100 is a wasteful number, since it uses less digits than its factorization.

12010202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 94 counting only the distinct ones).

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

Adding to 12010202100 its reverse (120201021), we get a palindrome (12130403121).

The spelling of 12010202100 in words is "twelve billion, ten million, two hundred two thousand, one hundred".