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122113323312 = 2432544027569
BaseRepresentation
bin111000110111010000…
…1010111000100110000
3102200012021202120002020
41301232201113010300
54000042002321222
6132033104151440
711552040056601
oct1615641270460
9380167676066
10122113323312
1147873873212
121b7bb608580
13b690c8b636
145ca5c9dda8
15329a7a065c
hex1c6e857130

122113323312 has 20 divisors (see below), whose sum is σ = 315459418680. Its totient is φ = 40704441088.

The previous prime is 122113323301. The next prime is 122113323313. The reversal of 122113323312 is 213323311221.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (122113323313) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1272013737 + ... + 1272013832.

It is an arithmetic number, because the mean of its divisors is an integer number (15772970934).

Almost surely, 2122113323312 is an apocalyptic number.

122113323312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122113323312 is an abundant number, since it is smaller than the sum of its proper divisors (193346095368).

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

122113323312 is a wasteful number, since it uses less digits than its factorization.

122113323312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544027580 (or 2544027574 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 122113323312 its reverse (213323311221), we get a palindrome (335436634533).

The spelling of 122113323312 in words is "one hundred twenty-two billion, one hundred thirteen million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 2544027569 5088055138 7632082707 10176110276 15264165414 20352220552 30528330828 40704441104 61056661656 122113323312