121512000 has 224 divisors, whose sum is σ = 412723584. Its totient is φ = 31488000.

The previous prime is 121511981. The next prime is 121512007. The reversal of 121512000 is 215121.

It is a super-2 number, since 2×121512000² = 29530332288000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (121512007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1463959 + ... + 1464041.

It is an arithmetic number, because the mean of its divisors is an integer number (1842516).

Almost surely, 2^121512000 is an apocalyptic number.

121512000 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 121512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206361792).

121512000 is an abundant number, since it is smaller than the sum of its proper divisors (291211584).

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

121512000 is an equidigital number, since it uses as much as digits as its factorization.

121512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 154 counting only the distinct ones).

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

The square root of 121512000 is about 11023.2481601386. The cubic root of 121512000 is about 495.3053926110.

Adding to 121512000 its reverse (215121), we get a palindrome (121727121).

The spelling of 121512000 in words is "one hundred twenty-one million, five hundred twelve thousand".