122467464 has 320 divisors, whose sum is σ = 435600000. Its totient is φ = 32006016.

The previous prime is 122467417. The next prime is 122467469. The reversal of 122467464 is 464764221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (122467469) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4223002 + ... + 4223030.

It is an arithmetic number, because the mean of its divisors is an integer number (1361250).

Almost surely, 2^122467464 is an apocalyptic number.

122467464 is a gapful number since it is divisible by the number (14) 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 122467464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217800000).

122467464 is an abundant number, since it is smaller than the sum of its proper divisors (313132536).

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

122467464 is a wasteful number, since it uses less digits than its factorization.

122467464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 60 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 122467464 is about 11066.5018863234. The cubic root of 122467464 is about 496.6002207303.

The spelling of 122467464 in words is "one hundred twenty-two million, four hundred sixty-seven thousand, four hundred sixty-four".