126210460461500 has 96 divisors (see below), whose sum is σ = 285219892863360. Its totient is φ = 48731163264000.

The previous prime is 126210460461431. The next prime is 126210460461509. The reversal of 126210460461500 is 5164064012621.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126210460461509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57015380 + ... + 59187620.

It is an arithmetic number, because the mean of its divisors is an integer number (2971040550660).

Almost surely, 2^{126210460461500} is an apocalyptic number.

126210460461500 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 126210460461500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142609946431680).

126210460461500 is an abundant number, since it is smaller than the sum of its proper divisors (159009432401860).

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

126210460461500 is a wasteful number, since it uses less digits than its factorization.

126210460461500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176296 (or 2176284 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 126210460461500 in words is "one hundred twenty-six trillion, two hundred ten billion, four hundred sixty million, four hundred sixty-one thousand, five hundred".