122140107600 has 120 divisors (see below), whose sum is σ = 447149148480. Its totient is φ = 27917736960.

The previous prime is 122140107589. The next prime is 122140107629. The reversal of 122140107600 is 6701041221.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×122140107600³ (a number of 34 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 7261845 + ... + 7278644.

It is an arithmetic number, because the mean of its divisors is an integer number (3726242904).

Almost surely, 2^122140107600 is an apocalyptic number.

122140107600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122140107600 is an abundant number, since it is smaller than the sum of its proper divisors (325009040880).

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

122140107600 is a wasteful number, since it uses less digits than its factorization.

122140107600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14540517 (or 14540506 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 122140107600 its reverse (6701041221), we get a palindrome (128841148821).

The spelling of 122140107600 in words is "one hundred twenty-two billion, one hundred forty million, one hundred seven thousand, six hundred".