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12100022200 = 23527831011031
BaseRepresentation
bin10110100010011011…
…11010111110111000
31011020021022211000101
423101031322332320
5144240101202300
65320401245144
7605564330440
oct132115727670
934207284011
1012100022200
11514a168852
1224183337b4
1311aaab5466
1482b017120
154ac42bb6a
hex2d137afb8

12100022200 has 192 divisors, whose sum is σ = 32892894720. Its totient is φ = 4054080000.

The previous prime is 12100022197. The next prime is 12100022203. The reversal of 12100022200 is 222000121.

It is an interprime number because it is at equal distance from previous prime (12100022197) and next prime (12100022203).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100022203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11735685 + ... + 11736715.

It is an arithmetic number, because the mean of its divisors is an integer number (171317160).

Almost surely, 212100022200 is an apocalyptic number.

12100022200 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 12100022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16446447360).

12100022200 is an abundant number, since it is smaller than the sum of its proper divisors (20792872520).

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

12100022200 is a wasteful number, since it uses less digits than its factorization.

12100022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12100022200 its reverse (222000121), we get a palindrome (12322022321).

The spelling of 12100022200 in words is "twelve billion, one hundred million, twenty-two thousand, two hundred".