121407000 has 256 divisors, whose sum is σ = 446584320. Its totient is φ = 27072000.

The previous prime is 121406959. The next prime is 121407007. The reversal of 121407000 is 704121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121407007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 428859 + ... + 429141.

It is an arithmetic number, because the mean of its divisors is an integer number (1744470).

Almost surely, 2^121407000 is an apocalyptic number.

121407000 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 121407000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223292160).

121407000 is an abundant number, since it is smaller than the sum of its proper divisors (325177320).

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

121407000 is a wasteful number, since it uses less digits than its factorization.

121407000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 121407000 is about 11018.4844692907. The cubic root of 121407000 is about 495.1626850227.

The spelling of 121407000 in words is "one hundred twenty-one million, four hundred seven thousand".