122172000 has 96 divisors (see below), whose sum is σ = 400274784. Its totient is φ = 32576000.

The previous prime is 122171989. The next prime is 122172007. The reversal of 122172000 is 271221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122172007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6910 + ... + 17090.

It is an arithmetic number, because the mean of its divisors is an integer number (4169529).

Almost surely, 2^122172000 is an apocalyptic number.

122172000 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 122172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200137392).

122172000 is an abundant number, since it is smaller than the sum of its proper divisors (278102784).

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

122172000 is a wasteful number, since it uses less digits than its factorization.

122172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10209 (or 10191 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 122172000 is about 11053.1443490077. The cubic root of 122172000 is about 496.2005345903.

The spelling of 122172000 in words is "one hundred twenty-two million, one hundred seventy-two thousand".