121520000 has 240 divisors, whose sum is σ = 363258720. Its totient is φ = 40320000.

The previous prime is 121519997. The next prime is 121520011. The reversal of 121520000 is 25121.

It is a super-2 number, since 2×121520000² = 29534220800000000, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3919985 + ... + 3920015.

It is an arithmetic number, because the mean of its divisors is an integer number (1513578).

Almost surely, 2^121520000 is an apocalyptic number.

121520000 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 121520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181629360).

121520000 is an abundant number, since it is smaller than the sum of its proper divisors (241738720).

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

121520000 is an frugal number, since it uses more digits than its factorization.

121520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 121520000 is about 11023.6110236165. The cubic root of 121520000 is about 495.3162621991.

Adding to 121520000 its reverse (25121), we get a palindrome (121545121).

It can be divided in two parts, 1215 and 20000, that multiplied together give a 5-th power (24300000 = 30⁵).

The spelling of 121520000 in words is "one hundred twenty-one million, five hundred twenty thousand".