122122000 has 320 divisors, whose sum is σ = 402974208. Its totient is φ = 34560000.

The previous prime is 122121991. The next prime is 122122001. The reversal of 122122000 is 221221.

122122000 = T₁₅₃ + T₁₅₄ + ... + T₉₀₂.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (122122001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2001970 + ... + 2002030.

Almost surely, 2^122122000 is an apocalyptic number.

122122000 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 122122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201487104).

122122000 is an abundant number, since it is smaller than the sum of its proper divisors (280852208).

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

122122000 is a wasteful number, since it uses less digits than its factorization.

122122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 122122000 is about 11050.8823177156. The cubic root of 122122000 is about 496.1328338294.

Adding to 122122000 its reverse (221221), we get a palindrome (122343221).

The spelling of 122122000 in words is "one hundred twenty-two million, one hundred twenty-two thousand".