122682000 has 320 divisors, whose sum is σ = 475398144. Its totient is φ = 26611200.

The previous prime is 122681987. The next prime is 122682019. The reversal of 122682000 is 286221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 965937 + ... + 966063.

Almost surely, 2^122682000 is an apocalyptic number.

122682000 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 122682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237699072).

122682000 is an abundant number, since it is smaller than the sum of its proper divisors (352716144).

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

122682000 is a wasteful number, since it uses less digits than its factorization.

122682000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 122682000 is about 11076.1906809155. The cubic root of 122682000 is about 496.8900296075.

The spelling of 122682000 in words is "one hundred twenty-two million, six hundred eighty-two thousand".