121301342400 has 252 divisors, whose sum is σ = 462944995368. Its totient is φ = 27725967360.

The previous prime is 121301342387. The next prime is 121301342413. The reversal of 121301342400 is 4243103121.

It is an interprime number because it is at equal distance from previous prime (121301342387) and next prime (121301342413).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22669 + ... + 493068.

Almost surely, 2^121301342400 is an apocalyptic number.

121301342400 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 121301342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231472497684).

121301342400 is an abundant number, since it is smaller than the sum of its proper divisors (341643652968).

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

121301342400 is a wasteful number, since it uses less digits than its factorization.

121301342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515776 (or 515754 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 121301342400 its reverse (4243103121), we get a palindrome (125544445521).

The spelling of 121301342400 in words is "one hundred twenty-one billion, three hundred one million, three hundred forty-two thousand, four hundred".