121222022000 has 80 divisors (see below), whose sum is σ = 294753232800. Its totient is φ = 48217779200.

The previous prime is 121222021981. The next prime is 121222022029. The reversal of 121222022000 is 220222121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188696 + ... + 527304.

It is an arithmetic number, because the mean of its divisors is an integer number (3684415410).

Almost surely, 2^121222022000 is an apocalyptic number.

121222022000 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 121222022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147376616400).

121222022000 is an abundant number, since it is smaller than the sum of its proper divisors (173531210800).

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

121222022000 is a wasteful number, since it uses less digits than its factorization.

121222022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338811 (or 338795 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 121222022000 its reverse (220222121), we get a palindrome (121442244121).

The spelling of 121222022000 in words is "one hundred twenty-one billion, two hundred twenty-two million, twenty-two thousand".