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12121320121031 = 1153103920010863
BaseRepresentation
bin1011000001100011011011…
…1110101110001011000111
31120220210020122021210220102
42300120312332232023013
53042043430422333111
641440242501154315
72360510420020202
oct260306676561307
946823218253812
1012121320121031
11395369422a440
1214392396bb99b
1369c060238454
142dc9643a2939
15160483c3d13b
hexb0636fae2c7

12121320121031 has 16 divisors (see below), whose sum is σ = 13485721466880. Its totient is φ = 10801062873120.

The previous prime is 12121320121007. The next prime is 12121320121087. The reversal of 12121320121031 is 13012102312121.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12121320121031 is a prime.

It is a super-2 number, since 2×121213201210312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12121320120994 and 12121320121012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121320121091) 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, 9399695 + ... + 10611168.

It is an arithmetic number, because the mean of its divisors is an integer number (842857591680).

Almost surely, 212121320121031 is an apocalyptic number.

12121320121031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12121320121031 is a deficient number, since it is larger than the sum of its proper divisors (1364401345849).

12121320121031 is a wasteful number, since it uses less digits than its factorization.

12121320121031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20011966.

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

Adding to 12121320121031 its reverse (13012102312121), we get a palindrome (25133422433152).

The spelling of 12121320121031 in words is "twelve trillion, one hundred twenty-one billion, three hundred twenty million, one hundred twenty-one thousand, thirty-one".

Divisors: 1 11 53 583 1039 11429 55067 605737 20010863 220119493 1060575739 11666333129 20791286657 228704153227 1101938192821 12121320121031