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12000202012200 = 23352431925924151
BaseRepresentation
bin1010111010100000001111…
…0001110011011000101000
31120111012121201012101102210
42232220003301303120220
53033102403203342300
641304452223525120
72345662123050243
oct256500361633050
946435551171383
1012000202012200
113907291211636
1214198774597a0
136907ca4cca2c
142d6b5476625a
1515c245a26050
hexaea03c73628

12000202012200 has 192 divisors, whose sum is σ = 38069309836800. Its totient is φ = 3125342304000.

The previous prime is 12000202012199. The next prime is 12000202012241. The reversal of 12000202012200 is 221020200021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496870125 + ... + 496894275.

It is an arithmetic number, because the mean of its divisors is an integer number (198277655400).

Almost surely, 212000202012200 is an apocalyptic number.

12000202012200 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 12000202012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19034654918400).

12000202012200 is an abundant number, since it is smaller than the sum of its proper divisors (26069107824600).

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

12000202012200 is a wasteful number, since it uses less digits than its factorization.

12000202012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43472 (or 43463 counting only the distinct ones).

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

Adding to 12000202012200 its reverse (221020200021), we get a palindrome (12221222212221).

The spelling of 12000202012200 in words is "twelve trillion, two hundred two million, twelve thousand, two hundred".