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12021133112021 = 1129101373106959
BaseRepresentation
bin1010111011101110001101…
…0111100111001011010101
31120120012122102202102112002
42232323203113213023111
53033423240034041041
641322233214005045
72350332612342005
oct256734327471325
946505572672462
1012021133112021
113915152284740
1214219391a6785
13692784a6c7b7
142d7b7c582005
1515ca6d3b359b
hexaeee35e72d5

12021133112021 has 16 divisors (see below), whose sum is σ = 13700487571200. Its totient is φ = 10446994824000.

The previous prime is 12021133111969. The next prime is 12021133112099.

12021133112021 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12021133112021 - 26 = 12021133111957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12021133111984 and 12021133112002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021133112921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186521261 + ... + 186585698.

It is an arithmetic number, because the mean of its divisors is an integer number (856280473200).

Almost surely, 212021133112021 is an apocalyptic number.

12021133112021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12021133112021 is a deficient number, since it is larger than the sum of its proper divisors (1679354459179).

12021133112021 is a wasteful number, since it uses less digits than its factorization.

12021133112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373107100.

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 1202113 and 3112021, that added together give a palindrome (4314134).

The spelling of 12021133112021 in words is "twelve trillion, twenty-one billion, one hundred thirty-three million, one hundred twelve thousand, twenty-one".

Divisors: 1 11 29 101 319 1111 2929 32219 373106959 4104176549 10820101811 37683802859 119021119921 414521831449 1092830282911 12021133112021