121950000 has 180 divisors, whose sum is σ = 428160096. Its totient is φ = 32400000.

The previous prime is 121949987. The next prime is 121950011. The reversal of 121950000 is 59121.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 449865 + ... + 450135.

Almost surely, 2^121950000 is an apocalyptic number.

121950000 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 121950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214080048).

121950000 is an abundant number, since it is smaller than the sum of its proper divisors (306210096).

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

121950000 is an equidigital number, since it uses as much as digits as its factorization.

121950000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 121950000 is about 11043.0973915836. The cubic root of 121950000 is about 495.8998019939.

The spelling of 121950000 in words is "one hundred twenty-one million, nine hundred fifty thousand".