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122100133012 = 2211131187179833
BaseRepresentation
bin111000110110110111…
…1000010110010010100
3102200011100221102101121
41301231233002302110
54000030113224022
6132031513333324
711551520002114
oct1615557026224
9380140842347
10122100133012
1147867384140
121b7b7107244
13b68b320920
145ca4229044
1532995472c7
hex1c6dbc2c94

122100133012 has 48 divisors (see below), whose sum is σ = 251243923392. Its totient is φ = 51187380480.

The previous prime is 122100133003. The next prime is 122100133013. The reversal of 122100133012 is 210331001221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100133013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 589048 + ... + 768880.

It is an arithmetic number, because the mean of its divisors is an integer number (5234248404).

Almost surely, 2122100133012 is an apocalyptic number.

It is an amenable number.

122100133012 is an abundant number, since it is smaller than the sum of its proper divisors (129143790380).

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

122100133012 is a wasteful number, since it uses less digits than its factorization.

122100133012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181048 (or 181046 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 122100133012 its reverse (210331001221), we get a palindrome (332431134233).

The spelling of 122100133012 in words is "one hundred twenty-two billion, one hundred million, one hundred thirty-three thousand, twelve".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 572 1187 2374 4748 13057 15431 26114 30862 52228 61724 169741 179833 339482 359666 678964 719332 1978163 2337829 3956326 4675658 7912652 9351316 25716119 51432238 102864476 213461771 426923542 853847084 2348079481 2775003023 4696158962 5550006046 9392317924 11100012092 30525033253 61050066506 122100133012