121200013140 has 192 divisors, whose sum is σ = 365350487040. Its totient is φ = 29929236480.

The previous prime is 121200013127. The next prime is 121200013141. The reversal of 121200013140 is 41310002121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121200013141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9999724 + ... + 10011836.

It is an arithmetic number, because the mean of its divisors is an integer number (1902867120).

Almost surely, 2^121200013140 is an apocalyptic number.

121200013140 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 121200013140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182675243520).

121200013140 is an abundant number, since it is smaller than the sum of its proper divisors (244150473900).

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

121200013140 is a wasteful number, since it uses less digits than its factorization.

121200013140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12342 (or 12340 counting only the distinct ones).

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

Adding to 121200013140 its reverse (41310002121), we get a palindrome (162510015261).

The spelling of 121200013140 in words is "one hundred twenty-one billion, two hundred million, thirteen thousand, one hundred forty".