122633160000 has 420 divisors, whose sum is σ = 439114338432. Its totient is φ = 30181632000.

The previous prime is 122633159959. The next prime is 122633160007. The reversal of 122633160000 is 61336221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122633160007) 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 59 ways as a sum of consecutive naturals, for example, 20276977 + ... + 20283023.

Almost surely, 2^122633160000 is an apocalyptic number.

122633160000 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 122633160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219557169216).

122633160000 is an abundant number, since it is smaller than the sum of its proper divisors (316481178432).

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

122633160000 is an equidigital number, since it uses as much as digits as its factorization.

122633160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6108 (or 6070 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 122633160000 its reverse (61336221), we get a palindrome (122694496221).

The spelling of 122633160000 in words is "one hundred twenty-two billion, six hundred thirty-three million, one hundred sixty thousand".