1221122400000 has 864 divisors, whose sum is σ = 4355996198400. Its totient is φ = 302745600000.

The previous prime is 1221122399993. The next prime is 1221122400037. The reversal of 1221122400000 is 42211221.

It is a super-2 number, since 2×1221122400000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2781599781 + ... + 2781600219.

Almost surely, 2^{1221122400000} is an apocalyptic number.

1221122400000 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 1221122400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177998099200).

1221122400000 is an abundant number, since it is smaller than the sum of its proper divisors (3134873798400).

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

1221122400000 is an frugal number, since it uses more digits than its factorization.

1221122400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1221122400000 its reverse (42211221), we get a palindrome (1221164611221).

The spelling of 1221122400000 in words is "one trillion, two hundred twenty-one billion, one hundred twenty-two million, four hundred thousand".