121442412120 has 128 divisors (see below), whose sum is σ = 368342138880. Its totient is φ = 32028480000.

The previous prime is 121442412059. The next prime is 121442412137. The reversal of 121442412120 is 21214244121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12005865 + ... + 12015975.

It is an arithmetic number, because the mean of its divisors is an integer number (2877672960).

Almost surely, 2^121442412120 is an apocalyptic number.

121442412120 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 121442412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184171069440).

121442412120 is an abundant number, since it is smaller than the sum of its proper divisors (246899726760).

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

121442412120 is a wasteful number, since it uses less digits than its factorization.

121442412120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11217 (or 11213 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 121442412120 its reverse (21214244121), we get a palindrome (142656656241).

The spelling of 121442412120 in words is "one hundred twenty-one billion, four hundred forty-two million, four hundred twelve thousand, one hundred twenty".