122167500 has 240 divisors, whose sum is σ = 440858880. Its totient is φ = 25632000.

The previous prime is 122167489. The next prime is 122167501. The reversal of 122167500 is 5761221.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (122167501) 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, 682411 + ... + 682589.

It is an arithmetic number, because the mean of its divisors is an integer number (1836912).

Almost surely, 2^122167500 is an apocalyptic number.

122167500 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 122167500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220429440).

122167500 is an abundant number, since it is smaller than the sum of its proper divisors (318691380).

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

122167500 is a wasteful number, since it uses less digits than its factorization.

122167500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 122167500 is about 11052.9407851485. The cubic root of 122167500 is about 496.1944422783.

It can be divided in two parts, 12 and 2167500, that multiplied together give a square (26010000 = 5100²).

The spelling of 122167500 in words is "one hundred twenty-two million, one hundred sixty-seven thousand, five hundred".