121251000 has 128 divisors (see below), whose sum is σ = 407534400. Its totient is φ = 29836800.

The previous prime is 121250971. The next prime is 121251007. The reversal of 121251000 is 152121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121251007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37446 + ... + 40554.

Almost surely, 2^121251000 is an apocalyptic number.

121251000 is a gapful number since it is divisible by the number (10) 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 121251000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203767200).

121251000 is an abundant number, since it is smaller than the sum of its proper divisors (286283400).

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

121251000 is a wasteful number, since it uses less digits than its factorization.

121251000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 121251000 is about 11011.4031803399. The cubic root of 121251000 is about 494.9505103058.

The spelling of 121251000 in words is "one hundred twenty-one million, two hundred fifty-one thousand".