1972321127010 has 256 divisors, whose sum is σ = 5774525406720. Its totient is φ = 476040913920.

The previous prime is 1972321127009. The next prime is 1972321127081. The reversal of 1972321127010 is 107211232791.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 564971365 + ... + 564974855.

It is an arithmetic number, because the mean of its divisors is an integer number (22556739870).

Almost surely, 2^{1972321127010} is an apocalyptic number.

1972321127010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1972321127010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887262703360).

1972321127010 is an abundant number, since it is smaller than the sum of its proper divisors (3802204279710).

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

1972321127010 is a wasteful number, since it uses less digits than its factorization.

1972321127010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 1972321127010 in words is "one trillion, nine hundred seventy-two billion, three hundred twenty-one million, one hundred twenty-seven thousand, ten".