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1221201110112 = 25365711935907
BaseRepresentation
bin10001110001010101010…
…000100010010001100000
311022202010121100002112220
4101301111100202101200
5130002004441010422
62333002333551040
7154141334110464
oct21612520422140
94282117302486
101221201110112
114309aa20a9a5
12178815945480
138b20aa85189
144316c14c4a4
1521b76110e5c
hex11c55422460

1221201110112 has 48 divisors (see below), whose sum is σ = 3206142418752. Its totient is φ = 407004877440.

The previous prime is 1221201110093. The next prime is 1221201110113. The reversal of 1221201110112 is 2110111021221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×12212011101122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1221201110091 and 1221201110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221201110113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 337138 + ... + 1598769.

It is an arithmetic number, because the mean of its divisors is an integer number (66794633724).

Almost surely, 21221201110112 is an apocalyptic number.

1221201110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1221201110112 is an abundant number, since it is smaller than the sum of its proper divisors (1984941308640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1221201110112 is a wasteful number, since it uses less digits than its factorization.

1221201110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942491 (or 1942483 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1221201110112 its reverse (2110111021221), we get a palindrome (3331312131333).

The spelling of 1221201110112 in words is "one trillion, two hundred twenty-one billion, two hundred one million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 6571 13142 19713 26284 39426 52568 78852 105136 157704 210272 315408 630816 1935907 3871814 5807721 7743628 11615442 15487256 23230884 30974512 46461768 61949024 92923536 185847072 12720844897 25441689794 38162534691 50883379588 76325069382 101766759176 152650138764 203533518352 305300277528 407067036704 610600555056 1221201110112