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122045121 = 32112714549
BaseRepresentation
bin1110100011001…
…00001011000001
322111122112102200
413101210023001
5222220420441
620035503413
73011236452
oct721441301
9274575380
10122045121
1162989340
1234a57b69
131c391a63
14122cd129
15aaab7b6
hex74642c1

122045121 has 24 divisors (see below), whose sum is σ = 193065600. Its totient is φ = 73677600.

The previous prime is 122045089. The next prime is 122045141. The reversal of 122045121 is 121540221.

It is not a de Polignac number, because 122045121 - 25 = 122045089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122045094 and 122045103.

It is not an unprimeable number, because it can be changed into a prime (122045141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24555 + ... + 29103.

It is an arithmetic number, because the mean of its divisors is an integer number (8044400).

Almost surely, 2122045121 is an apocalyptic number.

122045121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122045121 is a deficient number, since it is larger than the sum of its proper divisors (71020479).

122045121 is a wasteful number, since it uses less digits than its factorization.

122045121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4837 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 122045121 is about 11047.4033600661. The cubic root of 122045121 is about 496.0287024341.

Adding to 122045121 its reverse (121540221), we get a palindrome (243585342).

The spelling of 122045121 in words is "one hundred twenty-two million, forty-five thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 271 813 2439 2981 4549 8943 13647 26829 40941 50039 150117 450351 1232779 3698337 11095011 13560569 40681707 122045121