121653000 has 192 divisors, whose sum is σ = 470171520. Its totient is φ = 27792000.

The previous prime is 121652989. The next prime is 121653001. The reversal of 121653000 is 356121.

121653000 is a `hidden beast` number, since 12 + 1 + 653 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121653001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62035 + ... + 63965.

It is an arithmetic number, because the mean of its divisors is an integer number (2448810).

Almost surely, 2^121653000 is an apocalyptic number.

121653000 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 121653000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235085760).

121653000 is an abundant number, since it is smaller than the sum of its proper divisors (348518520).

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

121653000 is a wasteful number, since it uses less digits than its factorization.

121653000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 121653000 is about 11029.6418799524. The cubic root of 121653000 is about 495.4968992520.

The spelling of 121653000 in words is "one hundred twenty-one million, six hundred fifty-three thousand".