1225014234120 has 768 divisors, whose sum is σ = 4408051415040. Its totient is φ = 305322006528.

The previous prime is 1225014234083. The next prime is 1225014234149. The reversal of 1225014234120 is 214324105221.

1225014234120 is a `hidden beast` number, since 1 + 2 + 2 + 501 + 4 + 2 + 34 + 120 = 666.

It is a super-2 number, since 2×1225014234120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1985436052 + ... + 1985436668.

It is an arithmetic number, because the mean of its divisors is an integer number (5739650280).

Almost surely, 2^{1225014234120} is an apocalyptic number.

1225014234120 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 1225014234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204025707520).

1225014234120 is an abundant number, since it is smaller than the sum of its proper divisors (3183037180920).

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

1225014234120 is a wasteful number, since it uses less digits than its factorization.

1225014234120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1225014234120 its reverse (214324105221), we get a palindrome (1439338339341).

The spelling of 1225014234120 in words is "one trillion, two hundred twenty-five billion, fourteen million, two hundred thirty-four thousand, one hundred twenty".