1021720677120 has 3024 divisors, whose sum is σ = 4709823390720. Its totient is φ = 209616076800.

The previous prime is 1021720677113. The next prime is 1021720677127. The reversal of 1021720677120 is 217760271201.

It is an interprime number because it is at equal distance from previous prime (1021720677113) and next prime (1021720677127).

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

It is not an unprimeable number, because it can be changed into a prime (1021720677127) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 32958731505 + ... + 32958731535.

It is an arithmetic number, because the mean of its divisors is an integer number (1557481280).

Almost surely, 2^{1021720677120} is an apocalyptic number.

1021720677120 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 1021720677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354911695360).

1021720677120 is an abundant number, since it is smaller than the sum of its proper divisors (3688102713600).

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

1021720677120 is a wasteful number, since it uses less digits than its factorization.

1021720677120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 1021720677120 in words is "one trillion, twenty-one billion, seven hundred twenty million, six hundred seventy-seven thousand, one hundred twenty".