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1210112020992 = 29371923325423
BaseRepresentation
bin10001100111000000010…
…011000001001000000000
311021200111210021000000110
4101213000103001020000
5124311302134132432
62323530124151320
7153266463314550
oct21470023011000
94250453230013
101210112020992
11427229763136
12176640098540
138a161567394
14427d94cb160
1521727824dcc
hex119c04c1200

1210112020992 has 320 divisors, whose sum is σ = 3895070699520. Its totient is φ = 326130499584.

The previous prime is 1210112020991. The next prime is 1210112020993. The reversal of 1210112020992 is 2990202110121.

It is an interprime number because it is at equal distance from previous prime (1210112020991) and next prime (1210112020993).

It is a super-2 number, since 2×12101120209922 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1210112020991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47586393 + ... + 47611815.

It is an arithmetic number, because the mean of its divisors is an integer number (12172095936).

Almost surely, 21210112020992 is an apocalyptic number.

1210112020992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210112020992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947535349760).

1210112020992 is an abundant number, since it is smaller than the sum of its proper divisors (2684958678528).

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

1210112020992 is a wasteful number, since it uses less digits than its factorization.

1210112020992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25703 (or 25687 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 1210112020992 in words is "one trillion, two hundred ten billion, one hundred twelve million, twenty thousand, nine hundred ninety-two".