1214222042400 has 288 divisors, whose sum is σ = 4097443371840. Its totient is φ = 311949496320.

The previous prime is 1214222042321. The next prime is 1214222042401. The reversal of 1214222042400 is 42402224121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1214222042401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32484522 + ... + 32521878.

It is an arithmetic number, because the mean of its divisors is an integer number (14227233930).

Almost surely, 2^{1214222042400} is an apocalyptic number.

1214222042400 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 1214222042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048721685920).

1214222042400 is an abundant number, since it is smaller than the sum of its proper divisors (2883221329440).

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

1214222042400 is a wasteful number, since it uses less digits than its factorization.

1214222042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37876 (or 37863 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1214222042400 its reverse (42402224121), we get a palindrome (1256624266521).

The spelling of 1214222042400 in words is "one trillion, two hundred fourteen billion, two hundred twenty-two million, forty-two thousand, four hundred".