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20022312012000 = 253533458348247
BaseRepresentation
bin1001000110101110011101…
…10010111000100011100000
32121220010002100110011010120
410203113032302320203200
510111021143333341000
6110330042334000240
74134364362006354
oct443271662704340
977803070404116
1020022312012000
11641a462171981
1222b455b946080
13b2313297b0bc
144d312961b464
1524ac5da976a0
hex1235cecb88e0

20022312012000 has 192 divisors, whose sum is σ = 65596350403584. Its totient is φ = 5339018150400.

The previous prime is 20022312011963. The next prime is 20022312012007. The reversal of 20022312012000 is 21021322002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20022312012007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414971877 + ... + 415020123.

It is an arithmetic number, because the mean of its divisors is an integer number (341647658352).

Almost surely, 220022312012000 is an apocalyptic number.

20022312012000 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 20022312012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32798175201792).

20022312012000 is an abundant number, since it is smaller than the sum of its proper divisors (45574038391584).

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

20022312012000 is a wasteful number, since it uses less digits than its factorization.

20022312012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82858 (or 82840 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20022312012000 its reverse (21021322002), we get a palindrome (20043333334002).

The spelling of 20022312012000 in words is "twenty trillion, twenty-two billion, three hundred twelve million, twelve thousand".