121965000 has 160 divisors (see below), whose sum is σ = 391374720. Its totient is φ = 31648000.

The previous prime is 121964957. The next prime is 121965017. The reversal of 121965000 is 569121.

It is a super-2 number, since 2×121965000² = 29750922450000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 704914 + ... + 705086.

It is an arithmetic number, because the mean of its divisors is an integer number (2446092).

Almost surely, 2^121965000 is an apocalyptic number.

121965000 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 121965000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195687360).

121965000 is an abundant number, since it is smaller than the sum of its proper divisors (269409720).

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

121965000 is a wasteful number, since it uses less digits than its factorization.

121965000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 121965000 is about 11043.7765279817. The cubic root of 121965000 is about 495.9201332556.

The spelling of 121965000 in words is "one hundred twenty-one million, nine hundred sixty-five thousand".