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22123201320000 = 2632541137150991
BaseRepresentation
bin1010000011110111101011…
…00011100101010001000000
32220022221211221022212120200
411001323311203211101000
510344431304014220000
6115015131451005200
74442230360330554
oct501736543452100
986287757285520
1022123201320000
11705a440438050
12259375b439800
13c46294043a51
14566aa92a3864
1528571ddc8500
hex141ef58e5440

22123201320000 has 840 divisors, whose sum is σ = 88780357091712. Its totient is φ = 5218214400000.

The previous prime is 22123201319971. The next prime is 22123201320013. The reversal of 22123201320000 is 2310232122.

22123201320000 is a `hidden beast` number, since 2 + 21 + 2 + 320 + 1 + 320 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 146444505 + ... + 146595495.

Almost surely, 222123201320000 is an apocalyptic number.

22123201320000 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 22123201320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44390178545856).

22123201320000 is an abundant number, since it is smaller than the sum of its proper divisors (66657155771712).

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

22123201320000 is a wasteful number, since it uses less digits than its factorization.

22123201320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151077 (or 151049 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22123201320000 its reverse (2310232122), we get a palindrome (22125511552122).

The spelling of 22123201320000 in words is "twenty-two trillion, one hundred twenty-three billion, two hundred one million, three hundred twenty thousand".