121797000 has 256 divisors, whose sum is σ = 456019200. Its totient is φ = 29894400.

The previous prime is 121796999. The next prime is 121797001. The reversal of 121797000 is 797121.

It is an interprime number because it is at equal distance from previous prime (121796999) and next prime (121797001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (121797001) 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, 350827 + ... + 351173.

It is an arithmetic number, because the mean of its divisors is an integer number (1781325).

Almost surely, 2^121797000 is an apocalyptic number.

121797000 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 121797000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228009600).

121797000 is an abundant number, since it is smaller than the sum of its proper divisors (334222200).

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

121797000 is a wasteful number, since it uses less digits than its factorization.

121797000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 121797000 is about 11036.1678131496. The cubic root of 121797000 is about 495.6923278321.

The spelling of 121797000 in words is "one hundred twenty-one million, seven hundred ninety-seven thousand".