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122120132212320 = 253511171360518407
BaseRepresentation
bin11011110001000101001111…
…000110011011011001100000
3121000101120101222120120121120
4123301011033012123121200
5112001304012321243240
61111421114140052240
734502613501511254
oct3361051706333140
9530346358516546
10122120132212320
1135a02947a721a0
1211843849234080
13531ab57389b38
142222908640264
15e1b959002ad0
hex6f114f19b660

122120132212320 has 192 divisors, whose sum is σ = 444334427905536. Its totient is φ = 27863416954880.

The previous prime is 122120132212291. The next prime is 122120132212321. The reversal of 122120132212320 is 23212231021221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120132212321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 680169444 + ... + 680348963.

It is an arithmetic number, because the mean of its divisors is an integer number (2314241812008).

Almost surely, 2122120132212320 is an apocalyptic number.

122120132212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122120132212320 is an abundant number, since it is smaller than the sum of its proper divisors (322214295693216).

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

122120132212320 is a wasteful number, since it uses less digits than its factorization.

122120132212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360518453 (or 1360518445 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 122120132212320 its reverse (23212231021221), we get a palindrome (145332363233541).

The spelling of 122120132212320 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred thirty-two million, two hundred twelve thousand, three hundred twenty".