121774002000 has 320 divisors, whose sum is σ = 472303104000. Its totient is φ = 26368934400.

The previous prime is 121774001983. The next prime is 121774002001. The reversal of 121774002000 is 200477121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121774002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 721701 + ... + 874299.

It is an arithmetic number, because the mean of its divisors is an integer number (1475947200).

Almost surely, 2^121774002000 is an apocalyptic number.

121774002000 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 121774002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236151552000).

121774002000 is an abundant number, since it is smaller than the sum of its proper divisors (350529102000).

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

121774002000 is a wasteful number, since it uses less digits than its factorization.

121774002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152651 (or 152635 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

Adding to 121774002000 its reverse (200477121), we get a palindrome (121974479121).

The spelling of 121774002000 in words is "one hundred twenty-one billion, seven hundred seventy-four million, two thousand".