1207129838460 has 384 divisors, whose sum is σ = 4370023526400. Its totient is φ = 241978834944.

The previous prime is 1207129838459. The next prime is 1207129838461. The reversal of 1207129838460 is 648389217021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1207129838459) and next prime (1207129838461).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1207129838461) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18679164 + ... + 18743676.

It is an arithmetic number, because the mean of its divisors is an integer number (11380269600).

Almost surely, 2^{1207129838460} is an apocalyptic number.

1207129838460 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 1207129838460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185011763200).

1207129838460 is an abundant number, since it is smaller than the sum of its proper divisors (3162893687940).

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

1207129838460 is a wasteful number, since it uses less digits than its factorization.

1207129838460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64717 (or 64715 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 1207129838460 in words is "one trillion, two hundred seven billion, one hundred twenty-nine million, eight hundred thirty-eight thousand, four hundred sixty".