1225325200152 has 96 divisors (see below), whose sum is σ = 3233864936880. Its totient is φ = 386844353280.

The previous prime is 1225325200093. The next prime is 1225325200157. The reversal of 1225325200152 is 2510025235221.

It is a super-2 number, since 2×1225325200152² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225325200157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37871502 + ... + 37903842.

Almost surely, 2^{1225325200152} is an apocalyptic number.

1225325200152 is a gapful number since it is divisible by the number (12) 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 1225325200152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616932468440).

1225325200152 is an abundant number, since it is smaller than the sum of its proper divisors (2008539736728).

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

1225325200152 is a wasteful number, since it uses less digits than its factorization.

1225325200152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36761 (or 36738 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 1225325200152 in words is "one trillion, two hundred twenty-five billion, three hundred twenty-five million, two hundred thousand, one hundred fifty-two".