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12210011000000 = 2656111517351
BaseRepresentation
bin1011000110101101110101…
…0111100100110011000000
31121020021011122211021120122
42301223131113210303000
53100022100304000000
641545111314355412
72400100312034312
oct261533527446300
947207148737518
1012210011000000
113988266993520
12145246bb8bb68
136a7525a7aca8
14302d794877b2
151629251c7085
hexb1add5e4cc0

12210011000000 has 392 divisors, whose sum is σ = 33262779230976. Its totient is φ = 4410000000000.

The previous prime is 12210010999999. The next prime is 12210011000003. The reversal of 12210011000000 is 11001221.

12210011000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (12210011000003) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1660996325 + ... + 1661003675.

Almost surely, 212210011000000 is an apocalyptic number.

12210011000000 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 12210011000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16631389615488).

12210011000000 is an abundant number, since it is smaller than the sum of its proper divisors (21052768230976).

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

12210011000000 is an frugal number, since it uses more digits than its factorization.

12210011000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7555 (or 7520 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12210011000000 its reverse (11001221), we get a palindrome (12210022001221).

The spelling of 12210011000000 in words is "twelve trillion, two hundred ten billion, eleven million", and thus it is an aban number.