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20122221112000 = 2653710123315269
BaseRepresentation
bin1001001001101000100011…
…10101110110101011000000
32122020122222012001022000121
410210310101311312223000
510114140302101041000
6110444004252430024
74144532253233320
oct444642165665300
978218865038017
1020122221112000
116458871261507
12230b9a3178314
13b2c6956b2057
144d7cc6579280
1524d659d28b1a
hex124d11d76ac0

20122221112000 has 448 divisors, whose sum is σ = 57766143202560. Its totient is φ = 6800977920000.

The previous prime is 20122221111997. The next prime is 20122221112031. The reversal of 20122221112000 is 21112222102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 1317840366 + ... + 1317855634.

Almost surely, 220122221112000 is an apocalyptic number.

20122221112000 is a gapful number since it is divisible by the number (20) 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 20122221112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28883071601280).

20122221112000 is an abundant number, since it is smaller than the sum of its proper divisors (37643922090560).

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

20122221112000 is a wasteful number, since it uses less digits than its factorization.

20122221112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15637 (or 15617 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20122221112000 its reverse (21112222102), we get a palindrome (20143333334102).

The spelling of 20122221112000 in words is "twenty trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred twelve thousand".