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121202020202121 = 32371093339174593
BaseRepresentation
bin11011100011101110001011…
…010111000011011010001001
3120220010210121011212001020200
4123203232023113003122021
5111341233214132431441
61105435234525242413
734346362022262255
oct3343561327033211
9526123534761220
10121202020202121
1135689540746031
121171591b403409
1352823bc413141
1421d02cd9d1265
15e02b218947b6
hex6e3b8b5c3689

121202020202121 has 24 divisors (see below), whose sum is σ = 181450747437960. Its totient is φ = 77896264882176.

The previous prime is 121202020202119. The next prime is 121202020202161.

It is a happy number.

121202020202121 is a `hidden beast` number, since 121 + 20 + 202 + 0 + 202 + 121 = 666.

121202020202121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 87206835171600 + 33995185030521 = 9338460^2 + 5830539^2 .

It is not a de Polignac number, because 121202020202121 - 21 = 121202020202119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121202020202094 and 121202020202103.

It is not an unprimeable number, because it can be changed into a prime (121202020202161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1669551000 + ... + 1669623593.

It is an arithmetic number, because the mean of its divisors is an integer number (7560447809915).

Almost surely, 2121202020202121 is an apocalyptic number.

It is an amenable number.

121202020202121 is a deficient number, since it is larger than the sum of its proper divisors (60248727235839).

121202020202121 is a wasteful number, since it uses less digits than its factorization.

121202020202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339174745 (or 3339174742 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 121202020202121 in words is "one hundred twenty-one trillion, two hundred two billion, twenty million, two hundred two thousand, one hundred twenty-one".

Divisors: 1 3 9 37 109 111 327 333 981 4033 12099 36297 3339174593 10017523779 30052571337 123549459941 363970030637 370648379823 1091910091911 1111945139469 3275730275733 13466891133569 40400673400707 121202020202121