122202001113000 has 128 divisors (see below), whose sum is σ = 381315352878720. Its totient is φ = 32583344793600.

The previous prime is 122202001112987. The next prime is 122202001113007. The reversal of 122202001113000 is 311100202221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (122202001113007) 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, 22995544 + ... + 27806456.

It is an arithmetic number, because the mean of its divisors is an integer number (2979026194365).

Almost surely, 2^{122202001113000} is an apocalyptic number.

122202001113000 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 122202001113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190657676439360).

122202001113000 is an abundant number, since it is smaller than the sum of its proper divisors (259113351765720).

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

122202001113000 is a wasteful number, since it uses less digits than its factorization.

122202001113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4819404 (or 4819390 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 122202001113000 its reverse (311100202221), we get a palindrome (122513101315221).

The spelling of 122202001113000 in words is "one hundred twenty-two trillion, two hundred two billion, one million, one hundred thirteen thousand".