1225939312640 has 224 divisors, whose sum is σ = 3470859915264. Its totient is φ = 406760325120.

The previous prime is 1225939312607. The next prime is 1225939312673. The reversal of 1225939312640 is 462139395221.

It is an interprime number because it is at equal distance from previous prime (1225939312607) and next prime (1225939312673).

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8819357 + ... + 8957283.

It is an arithmetic number, because the mean of its divisors is an integer number (15494910336).

Almost surely, 2^{1225939312640} is an apocalyptic number.

1225939312640 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 1225939312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735429957632).

1225939312640 is an abundant number, since it is smaller than the sum of its proper divisors (2244920602624).

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

1225939312640 is an equidigital number, since it uses as much as digits as its factorization.

1225939312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137996 (or 137972 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 47.

The spelling of 1225939312640 in words is "one trillion, two hundred twenty-five billion, nine hundred thirty-nine million, three hundred twelve thousand, six hundred forty".