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22120020021000 = 23353112202730431
BaseRepresentation
bin1010000011110001101111…
…11011111000111100001000
32220022122122020011010202210
411001320313323320330020
510344403300111133000
6115013444044425120
74442055500616426
oct501706773707410
986278566133683
1022120020021000
1170590586a8020
122593011b481a0
13c45ba7c222c5
14566886986116
152855d4971350
hex141e37ef8f08

22120020021000 has 256 divisors, whose sum is σ = 75294396702720. Its totient is φ = 5362009440000.

The previous prime is 22120020020983. The next prime is 22120020021019. The reversal of 22120020021000 is 12002002122.

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, 726875785 + ... + 726906215.

It is an arithmetic number, because the mean of its divisors is an integer number (294118737120).

Almost surely, 222120020021000 is an apocalyptic number.

22120020021000 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 22120020021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37647198351360).

22120020021000 is an abundant number, since it is smaller than the sum of its proper divisors (53174376681720).

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

22120020021000 is a wasteful number, since it uses less digits than its factorization.

22120020021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52493 (or 52479 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22120020021000 its reverse (12002002122), we get a palindrome (22132022023122).

The spelling of 22120020021000 in words is "twenty-two trillion, one hundred twenty billion, twenty million, twenty-one thousand".