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122113011312 = 2432848007023
BaseRepresentation
bin111000110111010000…
…0001010111001110000
3102200012021011201002200
41301232200022321300
54000041412330222
6132033053343200
711552034320145
oct1615640127160
9380167151080
10122113011312
114787367a866
121b7bb497b00
13b690bac616
145ca5c1c3cc
15329a73ceac
hex1c6e80ae70

122113011312 has 30 divisors (see below), whose sum is σ = 341746830672. Its totient is φ = 40704337056.

The previous prime is 122113011263. The next prime is 122113011331. The reversal of 122113011312 is 213110311221.

122113011312 is a `hidden beast` number, since 1 + 221 + 130 + 1 + 1 + 312 = 666.

It is a super-2 number, since 2×1221130113122 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 424003368 + ... + 424003655.

Almost surely, 2122113011312 is an apocalyptic number.

122113011312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122113011312 is an abundant number, since it is smaller than the sum of its proper divisors (219633819360).

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

122113011312 is a wasteful number, since it uses less digits than its factorization.

122113011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848007037 (or 848007028 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 122113011312 its reverse (213110311221), we get a palindrome (335223322533).

The spelling of 122113011312 in words is "one hundred twenty-two billion, one hundred thirteen million, eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 848007023 1696014046 2544021069 3392028092 5088042138 6784056184 7632063207 10176084276 13568112368 15264126414 20352168552 30528252828 40704337104 61056505656 122113011312