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12002021011200 = 2835211101562651
BaseRepresentation
bin1010111010100111000000…
…1100101110111100000000
31120111101022110222002222010
42232221300030232330000
53033120114334324300
641305352523212520
72346055161224313
oct256516014567400
946441273862863
1012002021011200
113908034a724a0
12141a0a4677140
13690a2a3126bc
142d6c8818697a
1515c300583a50
hexaea7032ef00

12002021011200 has 432 divisors, whose sum is σ = 43637902745472. Its totient is φ = 2880768000000.

The previous prime is 12002021011199. The next prime is 12002021011261. The reversal of 12002021011200 is 211012020021.

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 47 ways as a sum of consecutive naturals, for example, 21049875 + ... + 21612525.

Almost surely, 212002021011200 is an apocalyptic number.

12002021011200 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 12002021011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21818951372736).

12002021011200 is an abundant number, since it is smaller than the sum of its proper divisors (31635881734272).

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

12002021011200 is a wasteful number, since it uses less digits than its factorization.

12002021011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562792 (or 562773 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12002021011200 its reverse (211012020021), we get a palindrome (12213033031221).

The spelling of 12002021011200 in words is "twelve trillion, two billion, twenty-one million, eleven thousand, two hundred".