121142002400 has 72 divisors (see below), whose sum is σ = 296544457440. Its totient is φ = 48324648960.

The previous prime is 121142002391. The next prime is 121142002403. The reversal of 121142002400 is 4200241121.

It is a super-3 number, since 3×121142002400³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121142002403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87296 + ... + 499904.

It is an arithmetic number, because the mean of its divisors is an integer number (4118673020).

Almost surely, 2^121142002400 is an apocalyptic number.

121142002400 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 121142002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148272228720).

121142002400 is an abundant number, since it is smaller than the sum of its proper divisors (175402455040).

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

121142002400 is a wasteful number, since it uses less digits than its factorization.

121142002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412996 (or 412983 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 121142002400 its reverse (4200241121), we get a palindrome (125342243521).

The spelling of 121142002400 in words is "one hundred twenty-one billion, one hundred forty-two million, two thousand, four hundred".