112121000 has 32 divisors (see below), whose sum is σ = 262365480. Its totient is φ = 44848000.

The previous prime is 112120951. The next prime is 112121003. The reversal of 112121000 is 121211.

It can be written as a sum of positive squares in 4 ways, for example, as 8773444 + 103347556 = 2962^2 + 10166^2 .

It is a super-2 number, since 2×112121000² = 25142237282000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (112121003) 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, 55061 + ... + 57060.

Almost surely, 2^112121000 is an apocalyptic number.

112121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112121000 is an abundant number, since it is smaller than the sum of its proper divisors (150244480).

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

112121000 is a wasteful number, since it uses less digits than its factorization.

112121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112142 (or 112128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 112121000 is about 10588.7204137233. The cubic root of 112121000 is about 482.2019779877.

Adding to 112121000 its reverse (121211), we get a palindrome (112242211).

The spelling of 112121000 in words is "one hundred twelve million, one hundred twenty-one thousand".