1012051998720 has 1152 divisors, whose sum is σ = 4207012992000. Its totient is φ = 228559159296.

The previous prime is 1012051998697. The next prime is 1012051998833. The reversal of 1012051998720 is 278991502101.

1012051998720 is a `hidden beast` number, since 1 + 0 + 1 + 20 + 519 + 98 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1012051998720² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1689568981 + ... + 1689569579.

It is an arithmetic number, because the mean of its divisors is an integer number (3651921000).

Almost surely, 2^{1012051998720} is an apocalyptic number.

1012051998720 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 1012051998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103506496000).

1012051998720 is an abundant number, since it is smaller than the sum of its proper divisors (3194960993280).

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

1012051998720 is an frugal number, since it uses more digits than its factorization.

1012051998720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 1012051998720 in words is "one trillion, twelve billion, fifty-one million, nine hundred ninety-eight thousand, seven hundred twenty".