122153643120 has 160 divisors (see below), whose sum is σ = 384037920000. Its totient is φ = 32114737152.

The previous prime is 122153643119. The next prime is 122153643127. The reversal of 122153643120 is 21346351221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122153643127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9933936 + ... + 9946224.

It is an arithmetic number, because the mean of its divisors is an integer number (2400237000).

Almost surely, 2^122153643120 is an apocalyptic number.

122153643120 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 122153643120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192018960000).

122153643120 is an abundant number, since it is smaller than the sum of its proper divisors (261884276880).

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

122153643120 is a wasteful number, since it uses less digits than its factorization.

122153643120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12887 (or 12881 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 122153643120 its reverse (21346351221), we get a palindrome (143499994341).

The spelling of 122153643120 in words is "one hundred twenty-two billion, one hundred fifty-three million, six hundred forty-three thousand, one hundred twenty".