121112020240400 has 120 divisors (see below), whose sum is σ = 332653813793280. Its totient is φ = 41509784954880.

The previous prime is 121112020240399. The next prime is 121112020240411. The reversal of 121112020240400 is 4042020211121.

It is a super-2 number, since 2×121112020240400² (a number of 29 digits) contains 22 as substring.

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

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, 646241 + ... + 15576959.

It is an arithmetic number, because the mean of its divisors is an integer number (2772115114944).

Almost surely, 2^{121112020240400} is an apocalyptic number.

121112020240400 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 121112020240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166326906896640).

121112020240400 is an abundant number, since it is smaller than the sum of its proper divisors (211541793552880).

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

121112020240400 is a wasteful number, since it uses less digits than its factorization.

121112020240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14933641 (or 14933630 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 121112020240400 its reverse (4042020211121), we get a palindrome (125154040451521).

The spelling of 121112020240400 in words is "one hundred twenty-one trillion, one hundred twelve billion, twenty million, two hundred forty thousand, four hundred".