1251752206240 has 192 divisors, whose sum is σ = 3170643969024. Its totient is φ = 465336926208.

The previous prime is 1251752206217. The next prime is 1251752206319. The reversal of 1251752206240 is 426022571521.

It is a self number, because there is not a number n which added to its sum of digits gives 1251752206240.

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, 122152797 + ... + 122163043.

It is an arithmetic number, because the mean of its divisors is an integer number (16513770672).

Almost surely, 2^{1251752206240} is an apocalyptic number.

1251752206240 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 1251752206240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585321984512).

1251752206240 is an abundant number, since it is smaller than the sum of its proper divisors (1918891762784).

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

1251752206240 is a wasteful number, since it uses less digits than its factorization.

1251752206240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10839 (or 10831 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

Adding to 1251752206240 its reverse (426022571521), we get a palindrome (1677774777761).

The spelling of 1251752206240 in words is "one trillion, two hundred fifty-one billion, seven hundred fifty-two million, two hundred six thousand, two hundred forty".