122101320 has 128 divisors (see below), whose sum is σ = 402330240. Its totient is φ = 29399040.

The previous prime is 122101307. The next prime is 122101349. The reversal of 122101320 is 23101221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122101296 and 122101305.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 307362 + ... + 307758.

It is an arithmetic number, because the mean of its divisors is an integer number (3143205).

Almost surely, 2^122101320 is an apocalyptic number.

122101320 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 122101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201165120).

122101320 is an abundant number, since it is smaller than the sum of its proper divisors (280228920).

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

122101320 is a wasteful number, since it uses less digits than its factorization.

122101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 122101320 is about 11049.9466062058. The cubic root of 122101320 is about 496.1048273927.

Adding to 122101320 its reverse (23101221), we get a palindrome (145202541).

Subtracting from 122101320 its reverse (23101221), we obtain a palindrome (99000099).

It can be divided in two parts, 12210 and 1320, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 122101320 in words is "one hundred twenty-two million, one hundred one thousand, three hundred twenty".