121993000 has 32 divisors (see below), whose sum is σ = 285465960. Its totient is φ = 48796800.

The previous prime is 121992979. The next prime is 121993019. The reversal of 121993000 is 399121.

It can be written as a sum of positive squares in 4 ways, for example, as 27941796 + 94051204 = 5286^2 + 9698^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59997 + ... + 61996.

Almost surely, 2^121993000 is an apocalyptic number.

121993000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121993000 is an abundant number, since it is smaller than the sum of its proper divisors (163472960).

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

121993000 is a wasteful number, since it uses less digits than its factorization.

121993000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122014 (or 122000 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 121993000 is about 11045.0441375306. The cubic root of 121993000 is about 495.9580804843.

The spelling of 121993000 in words is "one hundred twenty-one million, nine hundred ninety-three thousand".