1224401114000 has 160 divisors (see below), whose sum is σ = 3082284063456. Its totient is φ = 469993881600.

The previous prime is 1224401113993. The next prime is 1224401114003. The reversal of 1224401114000 is 4111044221.

It can be written as a sum of positive squares in 16 ways, for example, as 154351551376 + 1070049562624 = 392876^2 + 1034432^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1224401114003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5288672 + ... + 5515328.

Almost surely, 2^{1224401114000} is an apocalyptic number.

1224401114000 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 1224401114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541142031728).

1224401114000 is an abundant number, since it is smaller than the sum of its proper divisors (1857882949456).

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

1224401114000 is a wasteful number, since it uses less digits than its factorization.

1224401114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226790 (or 226774 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1224401114000 its reverse (4111044221), we get a palindrome (1228512158221).

The spelling of 1224401114000 in words is "one trillion, two hundred twenty-four billion, four hundred one million, one hundred fourteen thousand".