121022000 has 80 divisors (see below), whose sum is σ = 319292064. Its totient is φ = 44000000.

The previous prime is 121021981. The next prime is 121022009. The reversal of 121022000 is 220121.

Added to its reverse (220121) it gives a square (121242121 = 11011²).

It is a Cunningham number, because it is equal to 11001²-1.

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

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (121022009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19250 + ... + 24750.

Almost surely, 2^121022000 is an apocalyptic number.

121022000 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 121022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159646032).

121022000 is an abundant number, since it is smaller than the sum of its proper divisors (198270064).

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

121022000 is a wasteful number, since it uses less digits than its factorization.

121022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5535 (or 5519 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 121022000 is about 11000.9999545496. Note that the first 4 decimals coincide. The cubic root of 121022000 is about 494.6387187958.

Adding to 121022000 its reverse (220121), we get a palindrome (121242121).

The spelling of 121022000 in words is "one hundred twenty-one million, twenty-two thousand".