121000112112 has 80 divisors (see below), whose sum is σ = 344376708480. Its totient is φ = 36303648000.

The previous prime is 121000112087. The next prime is 121000112153. The reversal of 121000112112 is 211211000121.

It is a super-2 number, since 2×121000112112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1081162 + ... + 1187817.

It is an arithmetic number, because the mean of its divisors is an integer number (4304708856).

Almost surely, 2^121000112112 is an apocalyptic number.

121000112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121000112112 is an abundant number, since it is smaller than the sum of its proper divisors (223376596368).

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

121000112112 is a wasteful number, since it uses less digits than its factorization.

121000112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269102 (or 2269096 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121000112112 its reverse (211211000121), we get a palindrome (332211112233).

The spelling of 121000112112 in words is "one hundred twenty-one billion, one hundred twelve thousand, one hundred twelve".