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12011100111021 = 3113131737038031
BaseRepresentation
bin1010111011001000110101…
…0110110000000010101101
31120112020202012220011112110
42232302031112300002231
53033242213112023041
641313453451554233
72346526154262144
oct256621526600255
946466665804473
1012011100111021
11391097397a580
12141b9b915b979
1369184629940b
142d74a9cac75b
1515c682687516
hexaec8d5b00ad

12011100111021 has 32 divisors (see below), whose sum is σ = 18091152654336. Its totient is φ = 7022410488000.

The previous prime is 12011100111019. The next prime is 12011100111091.

12011100111021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12011100111021 - 21 = 12011100111019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12011100110988 and 12011100111006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011100111091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18194725 + ... + 18843306.

It is an arithmetic number, because the mean of its divisors is an integer number (565348520448).

Almost surely, 212011100111021 is an apocalyptic number.

12011100111021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12011100111021 is a deficient number, since it is larger than the sum of its proper divisors (6080052543315).

12011100111021 is a wasteful number, since it uses less digits than its factorization.

12011100111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37038393.

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 12011100 and 111021, that added together give a palindrome (12122121).

The spelling of 12011100111021 in words is "twelve trillion, eleven billion, one hundred million, one hundred eleven thousand, twenty-one".

Divisors: 1 3 11 31 33 93 317 341 951 1023 3487 9827 10461 29481 108097 324291 37038031 111114093 407418341 1148178961 1222255023 3444536883 11741055827 12629968571 35223167481 37889905713 129151614097 363972730637 387454842291 1091918191911 4003700037007 12011100111021