122330153000000 has 294 divisors, whose sum is σ = 333525020942274. Its totient is φ = 44483648000000.

The previous prime is 122330152999973. The next prime is 122330153000009. The reversal of 122330153000000 is 351033221.

It can be written as a sum of positive squares in 7 ways, for example, as 113559883976704 + 8770269023296 = 10656448^2 + 2961464^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (122330153000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 120494504 + ... + 121505496.

Almost surely, 2^{122330153000000} is an apocalyptic number.

122330153000000 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 122330153000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166762510471137).

122330153000000 is an abundant number, since it is smaller than the sum of its proper divisors (211194867942274).

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

122330153000000 is an frugal number, since it uses more digits than its factorization.

122330153000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011057 (or 1011011 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The spelling of 122330153000000 in words is "one hundred twenty-two trillion, three hundred thirty billion, one hundred fifty-three million", and thus it is an aban number.