1201001009976 has 128 divisors (see below), whose sum is σ = 3363346022400. Its totient is φ = 397077448320.

The previous prime is 1201001009963. The next prime is 1201001009981. The reversal of 1201001009976 is 6799001001021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1201001009976.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14933665 + ... + 15013871.

It is an arithmetic number, because the mean of its divisors is an integer number (26276140800).

Almost surely, 2^{1201001009976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201001009976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681673011200).

1201001009976 is an abundant number, since it is smaller than the sum of its proper divisors (2162345012424).

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

1201001009976 is a wasteful number, since it uses less digits than its factorization.

1201001009976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80786 (or 80776 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 1201001009976 in words is "one trillion, two hundred one billion, one million, nine thousand, nine hundred seventy-six".