122011101400 has 96 divisors (see below), whose sum is σ = 286859139840. Its totient is φ = 48258207360.

The previous prime is 122011101367. The next prime is 122011101437. The reversal of 122011101400 is 4101110221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14972127 + ... + 14980273.

It is an arithmetic number, because the mean of its divisors is an integer number (2988116040).

Almost surely, 2^122011101400 is an apocalyptic number.

122011101400 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 122011101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143429569920).

122011101400 is an abundant number, since it is smaller than the sum of its proper divisors (164848038440).

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

122011101400 is a wasteful number, since it uses less digits than its factorization.

122011101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8993 (or 8984 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122011101400 its reverse (4101110221), we get a palindrome (126112211621).

The spelling of 122011101400 in words is "one hundred twenty-two billion, eleven million, one hundred one thousand, four hundred".