1224114001000 has 128 divisors (see below), whose sum is σ = 3127724046720. Its totient is φ = 444720000000.

The previous prime is 1224114000973. The next prime is 1224114001027. The reversal of 1224114001000 is 1004114221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1224114000973) and next prime (1224114001027).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11950000 + ... + 12052000.

It is an arithmetic number, because the mean of its divisors is an integer number (24435344115).

Almost surely, 2^{1224114001000} is an apocalyptic number.

1224114001000 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 1224114001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563862023360).

1224114001000 is an abundant number, since it is smaller than the sum of its proper divisors (1903610045720).

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

1224114001000 is a wasteful number, since it uses less digits than its factorization.

1224114001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103124 (or 103110 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1224114001000 its reverse (1004114221), we get a palindrome (1225118115221).

The spelling of 1224114001000 in words is "one trillion, two hundred twenty-four billion, one hundred fourteen million, one thousand".