1242201122400 has 288 divisors, whose sum is σ = 4657381908480. Its totient is φ = 281695518720.

The previous prime is 1242201122399. The next prime is 1242201122411. The reversal of 1242201122400 is 42211022421.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1842496 + ... + 2424704.

It is an arithmetic number, because the mean of its divisors is an integer number (16171464960).

Almost surely, 2^{1242201122400} is an apocalyptic number.

1242201122400 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 1242201122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328690954240).

1242201122400 is an abundant number, since it is smaller than the sum of its proper divisors (3415180786080).

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

1242201122400 is a wasteful number, since it uses less digits than its factorization.

1242201122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582366 (or 582353 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 1242201122400 its reverse (42211022421), we get a palindrome (1284412144821).

The spelling of 1242201122400 in words is "one trillion, two hundred forty-two billion, two hundred one million, one hundred twenty-two thousand, four hundred".