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12210023001000 = 233531141791553
BaseRepresentation
bin1011000110101101111000…
…0101010110101110101000
31121020021012111101222212010
42301223132011112232220
53100022111342013000
641545112423515520
72400100516036536
oct261533605265650
947207174358763
1012210023001000
113988272740000
121452473bb8ba0
136a75283c0586
14302d7accd156
15162926297d50
hexb1ade156ba8

12210023001000 has 640 divisors, whose sum is σ = 42165776016000. Its totient is φ = 2941573888000.

The previous prime is 12210023000999. The next prime is 12210023001019. The reversal of 12210023001000 is 10032001221.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7862216224 + ... + 7862217776.

It is an arithmetic number, because the mean of its divisors is an integer number (65884025025).

Almost surely, 212210023001000 is an apocalyptic number.

12210023001000 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 12210023001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21082888008000).

12210023001000 is an abundant number, since it is smaller than the sum of its proper divisors (29955753015000).

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

12210023001000 is a wasteful number, since it uses less digits than its factorization.

12210023001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12210023001000 its reverse (10032001221), we get a palindrome (12220055002221).

The spelling of 12210023001000 in words is "twelve trillion, two hundred ten billion, twenty-three million, one thousand".