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121202242202121 = 3193710125699901
BaseRepresentation
bin11011100011101110011000…
…100101111010101000001001
3120220010211011122120210222220
4123203232120211322220021
5111341234143000431441
61105435312535404253
734346400356245503
oct3343563045725011
9526124148523886
10121202242202121
1135689644a94a03
1211715981823689
135282426400ca2
1421d031129cd73
15e02b360e7466
hex6e3b9897aa09

121202242202121 has 96 divisors (see below), whose sum is σ = 176780786236800. Its totient is φ = 73605438720000.

The previous prime is 121202242202117. The next prime is 121202242202131.

121202242202121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121202242202121 - 22 = 121202242202117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121202242202091 and 121202242202100.

It is not an unprimeable number, because it can be changed into a prime (121202242202131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12241409271 + ... + 12241419171.

It is an arithmetic number, because the mean of its divisors is an integer number (1841466523300).

Almost surely, 2121202242202121 is an apocalyptic number.

It is an amenable number.

121202242202121 is a deficient number, since it is larger than the sum of its proper divisors (55578544034679).

121202242202121 is a wasteful number, since it uses less digits than its factorization.

121202242202121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10731 (or 10630 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 121202242202121 in words is "one hundred twenty-one trillion, two hundred two billion, two hundred forty-two million, two hundred two thousand, one hundred twenty-one".

Divisors: 1 3 19 37 57 101 111 303 569 703 1707 1919 2109 3737 5757 9901 10201 10811 11211 21053 29703 30603 32433 57469 63159 71003 172407 188119 193819 213009 366337 377437 400007 564357 581457 1000001 1091911 1099011 1132311 1200021 2126353 3000003 3275733 5633669 5804369 6379059 6960403 7171303 16901007 17413107 19000019 20881209 21513909 37000037 40400707 57000057 101000101 107039711 110283011 111000111 121202121 208445753 214761653 303000303 321119133 330849033 569000569 625337259 644284959 703000703 1707001707 1919001919 2109002109 3737003737 3960469307 4080471407 5757005757 10811010811 11211011211 11881407921 12241414221 21053021053 32433032433 57469057469 63159063159 71003071003 172407172407 213009213009 400007400007 1091912091911 1200022200021 2126355126353 3275736275733 6379065379059 40400747400707 121202242202121