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122120100002121 = 3136889945447461
BaseRepresentation
bin11011110001000101001101…
…001011100011100101001001
3121000101120022201222010112020
4123301011031023203211021
5112001303431100031441
61111421111025435053
734502612630646054
oct3361051513434511
9530346281863466
10122120100002121
1135a029308721a1
121184383a49ba89
13531ab507bcb50
142222904257a9b
15e1b95628de66
hex6f114d2e3949

122120100002121 has 16 divisors (see below), whose sum is σ = 175354487380800. Its totient is φ = 75149738377920.

The previous prime is 122120100002101. The next prime is 122120100002167. The reversal of 122120100002121 is 121200001021221.

It is not a de Polignac number, because 122120100002121 - 27 = 122120100001993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122120100002121.

It is not an unprimeable number, because it can be changed into a prime (122120100002101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20036670 + ... + 25410791.

It is an arithmetic number, because the mean of its divisors is an integer number (10959655461300).

Almost surely, 2122120100002121 is an apocalyptic number.

It is an amenable number.

122120100002121 is a deficient number, since it is larger than the sum of its proper divisors (53234387378679).

122120100002121 is a wasteful number, since it uses less digits than its factorization.

122120100002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45516376.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122120100002121 its reverse (121200001021221), we get a palindrome (243320101023342).

The spelling of 122120100002121 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred million, two thousand, one hundred twenty-one".

Divisors: 1 3 13 39 68899 206697 895687 2687061 45447461 136342383 590816993 1772450979 3131284615439 9393853846317 40706700000707 122120100002121