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12110021022000 = 2435311502336529
BaseRepresentation
bin1011000000111001010110…
…0000000101000100110000
31120212201002012001002221010
42300032111200011010300
53041402310340201000
641431133350230520
72356630416166416
oct260162540050460
946781065032833
1012110021022000
113949916183070
121437005655440
1369ac7c36a135
142dc1b18b52b6
15160021cbbd50
hexb0395805130

12110021022000 has 320 divisors, whose sum is σ = 42601690460160. Its totient is φ = 2935097856000.

The previous prime is 12110021021953. The next prime is 12110021022041. The reversal of 12110021022000 is 22012001121.

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 63 ways as a sum of consecutive naturals, for example, 331499736 + ... + 331536264.

It is an arithmetic number, because the mean of its divisors is an integer number (133130282688).

Almost surely, 212110021022000 is an apocalyptic number.

12110021022000 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 12110021022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21300845230080).

12110021022000 is an abundant number, since it is smaller than the sum of its proper divisors (30491669438160).

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

12110021022000 is a wasteful number, since it uses less digits than its factorization.

12110021022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41589 (or 41573 counting only the distinct ones).

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

Adding to 12110021022000 its reverse (22012001121), we get a palindrome (12132033023121).

The spelling of 12110021022000 in words is "twelve trillion, one hundred ten billion, twenty-one million, twenty-two thousand".