122124023200 has 72 divisors (see below), whose sum is σ = 298568077920. Its totient is φ = 48778694400.

The previous prime is 122124023191. The next prime is 122124023201. The reversal of 122124023200 is 2320421221.

It is a super-3 number, since 3×122124023200³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (122124023201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 442341 + ... + 663259.

It is an arithmetic number, because the mean of its divisors is an integer number (4146778860).

Almost surely, 2^122124023200 is an apocalyptic number.

122124023200 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 122124023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149284038960).

122124023200 is an abundant number, since it is smaller than the sum of its proper divisors (176444054720).

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

122124023200 is a wasteful number, since it uses less digits than its factorization.

122124023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221630 (or 221617 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 122124023200 its reverse (2320421221), we get a palindrome (124444444421).

The spelling of 122124023200 in words is "one hundred twenty-two billion, one hundred twenty-four million, twenty-three thousand, two hundred".