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12210000000000 = 21035101137
BaseRepresentation
bin1011000110101101110010…
…1101100111010000000000
31121020021010220010102102020
42301223130231213100000
53100022040000000000
641545110242521440
72400100116401325
oct261533455472000
947207126112366
1012210000000000
113988260760010
121452468366280
136a75236c920a
14302d77c22b4c
15162924252ba0
hexb1adcb67400

12210000000000 has 968 divisors, whose sum is σ = 45577733441568. Its totient is φ = 2880000000000.

The previous prime is 12209999999959. The next prime is 12210000000017. The reversal of 12210000000000 is 1221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 329999999982 + ... + 330000000018.

Almost surely, 212210000000000 is an apocalyptic number.

12210000000000 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 12210000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22788866720784).

12210000000000 is an abundant number, since it is smaller than the sum of its proper divisors (33367733441568).

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

12210000000000 is an frugal number, since it uses more digits than its factorization.

12210000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 12210000000000 its reverse (1221), we get a palindrome (12210000001221).

12210000000000 divided by its reverse (1221) gives a 10-th power (10000000000 = 1010).

It can be divided in two parts, 12 and 210000000000, that added together give a palindrome (210000000012).

The spelling of 12210000000000 in words is "twelve trillion, two hundred ten billion", and thus it is an aban number.