122145504 has 96 divisors (see below), whose sum is σ = 349201440. Its totient is φ = 37158912.

The previous prime is 122145481. The next prime is 122145533. The reversal of 122145504 is 405541221.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120552 + ... + 121560.

It is an arithmetic number, because the mean of its divisors is an integer number (3637515).

Almost surely, 2^122145504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122145504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174600720).

122145504 is an abundant number, since it is smaller than the sum of its proper divisors (227055936).

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

122145504 is a wasteful number, since it uses less digits than its factorization.

122145504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 122145504 is about 11051.9457110502. The cubic root of 122145504 is about 496.1646609043.

Adding to 122145504 its reverse (405541221), we get a palindrome (527686725).

The spelling of 122145504 in words is "one hundred twenty-two million, one hundred forty-five thousand, five hundred four".