1212421142400 has 1152 divisors, whose sum is σ = 4547463184800. Its totient is φ = 283398635520.

The previous prime is 1212421142377. The next prime is 1212421142407. The reversal of 1212421142400 is 42411242121.

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 not an unprimeable number, because it can be changed into a prime (1212421142407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3434620624 + ... + 3434620976.

Almost surely, 2^{1212421142400} is an apocalyptic number.

1212421142400 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 1212421142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273731592400).

1212421142400 is an abundant number, since it is smaller than the sum of its proper divisors (3335042042400).

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

1212421142400 is a wasteful number, since it uses less digits than its factorization.

1212421142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 478 counting only the distinct ones).

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

Adding to 1212421142400 its reverse (42411242121), we get a palindrome (1254832384521).

The spelling of 1212421142400 in words is "one trillion, two hundred twelve billion, four hundred twenty-one million, one hundred forty-two thousand, four hundred".