122103520 has 288 divisors, whose sum is σ = 390930624. Its totient is φ = 35143680.

The previous prime is 122103511. The next prime is 122103521. The reversal of 122103520 is 25301221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 122103494 and 122103503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122103521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2303814 + ... + 2303866.

It is an arithmetic number, because the mean of its divisors is an integer number (1357398).

Almost surely, 2^122103520 is an apocalyptic number.

122103520 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 122103520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195465312).

122103520 is an abundant number, since it is smaller than the sum of its proper divisors (268827104).

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

122103520 is a wasteful number, since it uses less digits than its factorization.

122103520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 122103520 is about 11050.0461537498. The cubic root of 122103520 is about 496.1078069512.

Adding to 122103520 its reverse (25301221), we get a palindrome (147404741).

The spelling of 122103520 in words is "one hundred twenty-two million, one hundred three thousand, five hundred twenty".