2234122400000 has 216 divisors, whose sum is σ = 5581998354240. Its totient is φ = 892373760000.

The previous prime is 2234122399933. The next prime is 2234122400023. The reversal of 2234122400000 is 42214322.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 725598461 + ... + 725601539.

Almost surely, 2^{2234122400000} is an apocalyptic number.

2234122400000 is a gapful number since it is divisible by the number (20) 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 2234122400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790999177120).

2234122400000 is an abundant number, since it is smaller than the sum of its proper divisors (3347875954240).

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

2234122400000 is an frugal number, since it uses more digits than its factorization.

2234122400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4027 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2234122400000 its reverse (42214322), we get a palindrome (2234164614322).

The spelling of 2234122400000 in words is "two trillion, two hundred thirty-four billion, one hundred twenty-two million, four hundred thousand".