122364000 has 384 divisors, whose sum is σ = 490613760. Its totient is φ = 29376000.

The previous prime is 122363993. The next prime is 122364001. The reversal of 122364000 is 463221.

It is a happy number.

122364000 is a `hidden beast` number, since 1 + 2 + 23 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122364001) 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, 1187949 + ... + 1188051.

It is an arithmetic number, because the mean of its divisors is an integer number (1277640).

Almost surely, 2^122364000 is an apocalyptic number.

122364000 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 122364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245306880).

122364000 is an abundant number, since it is smaller than the sum of its proper divisors (368249760).

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

122364000 is a wasteful number, since it uses less digits than its factorization.

122364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 122364000 is about 11061.8262506695. The cubic root of 122364000 is about 496.4603339949.

The spelling of 122364000 in words is "one hundred twenty-two million, three hundred sixty-four thousand".