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122021132121 = 32743101445969
BaseRepresentation
bin111000110100100000…
…1101011011101011001
3102122221212021202112200
41301221001223131121
53444344402211441
6132020012200413
711546540336610
oct1615101533531
9378855252480
10122021132121
1147826825649
121b794769109
13b677b50235
145c97942877
15329263e7b6
hex1c6906b759

122021132121 has 48 divisors (see below), whose sum is σ = 208157389440. Its totient is φ = 67430361600.

The previous prime is 122021132113. The next prime is 122021132161. The reversal of 122021132121 is 121231120221.

It is not a de Polignac number, because 122021132121 - 23 = 122021132113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122021132094 and 122021132103.

It is not an unprimeable number, because it can be changed into a prime (122021132161) 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 47 ways as a sum of consecutive naturals, for example, 50625 + ... + 496593.

It is an arithmetic number, because the mean of its divisors is an integer number (4336612280).

Almost surely, 2122021132121 is an apocalyptic number.

It is an amenable number.

122021132121 is a deficient number, since it is larger than the sum of its proper divisors (86136257319).

122021132121 is a wasteful number, since it uses less digits than its factorization.

122021132121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446126 (or 446123 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122021132121 its reverse (121231120221), we get a palindrome (243252252342).

The spelling of 122021132121 in words is "one hundred twenty-two billion, twenty-one million, one hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 43 63 101 129 301 303 387 707 903 909 2121 2709 4343 6363 13029 30401 39087 91203 273609 445969 1337907 3121783 4013721 9365349 19176667 28096047 45042869 57530001 134236669 135128607 172590003 315300083 402710007 405385821 945900249 1208130021 1936843367 2837700747 5810530101 13557903569 17431590303 40673710707 122021132121