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122330321120 = 2557109223501
BaseRepresentation
bin111000111101101110…
…1001001000011100000
3102200202102002012010002
41301323131021003200
54001013030233440
6132110415155132
711560313400350
oct1617335110340
9380672065102
10122330321120
1147975305947
121b860215aa8
13b6c6c176c7
145cc6a28b60
1532ae866115
hex1c7b7490e0

122330321120 has 48 divisors (see below), whose sum is σ = 330291870048. Its totient is φ = 41941824000.

The previous prime is 122330321117. The next prime is 122330321149. The reversal of 122330321120 is 21123033221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122330321092 and 122330321101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54610631 + ... + 54612870.

It is an arithmetic number, because the mean of its divisors is an integer number (6881080626).

Almost surely, 2122330321120 is an apocalyptic number.

122330321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122330321120 is an abundant number, since it is smaller than the sum of its proper divisors (207961548928).

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

122330321120 is a wasteful number, since it uses less digits than its factorization.

122330321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109223523 (or 109223515 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 122330321120 its reverse (21123033221), we get a palindrome (143453354341).

The spelling of 122330321120 in words is "one hundred twenty-two billion, three hundred thirty million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 109223501 218447002 436894004 546117505 764564507 873788008 1092235010 1529129014 1747576016 2184470020 3058258028 3495152032 3822822535 4368940040 6116516056 7645645070 8737880080 12233032112 15291290140 17475760160 24466064224 30582580280 61165160560 122330321120