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121421545124121 = 32112373013464997
BaseRepresentation
bin11011100110111010101000…
…000100001011000100011001
3120220220210020020201112111100
4123212322220010023010121
5111403332311022432441
61110124142054222013
734401263036315154
oct3346725004130431
9526823206645440
10121421545124121
1135763651851100
1211750385954909
13529a00586c6a8
1421dab96c4cc9b
15e086bdee0cb6
hex6e6ea810b119

121421545124121 has 36 divisors (see below), whose sum is σ = 197990677298596. Its totient is φ = 71599928304960.

The previous prime is 121421545124119. The next prime is 121421545124183.

121421545124121 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 2 + 15 + 4 + 512 + 4 + 121 = 666.

121421545124121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 57074836834521 + 64346708289600 = 7554789^2 + 8021640^2 .

It is not a de Polignac number, because 121421545124121 - 21 = 121421545124119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121421545124021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1506692206 + ... + 1506772791.

Almost surely, 2121421545124121 is an apocalyptic number.

121421545124121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121421545124121 is a deficient number, since it is larger than the sum of its proper divisors (76569132174475).

121421545124121 is a wasteful number, since it uses less digits than its factorization.

121421545124121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013465062 (or 3013465048 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The spelling of 121421545124121 in words is "one hundred twenty-one trillion, four hundred twenty-one billion, five hundred forty-five million, one hundred twenty-four thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 37 99 111 121 333 363 407 1089 1221 3663 4477 13431 40293 3013464997 9040394991 27121184973 33148114967 99444344901 111498204889 298333034703 334494614667 364629264637 1003483844001 1093887793911 1226480253779 3281663381733 3679440761337 11038322284011 13491282791569 40473848374707 121421545124121