1023121797120 has 312 divisors, whose sum is σ = 3589170517296. Its totient is φ = 269541310464.

The previous prime is 1023121797107. The next prime is 1023121797143. The reversal of 1023121797120 is 217971213201.

1023121797120 is a `hidden beast` number, since 1 + 0 + 231 + 217 + 97 + 120 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 15265122 + ... + 15331998.

It is an arithmetic number, because the mean of its divisors is an integer number (11503751658).

Almost surely, 2^{1023121797120} is an apocalyptic number.

1023121797120 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 1023121797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794585258648).

1023121797120 is an abundant number, since it is smaller than the sum of its proper divisors (2566048720176).

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

1023121797120 is an equidigital number, since it uses as much as digits as its factorization.

1023121797120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66995 (or 66970 counting only the distinct ones).

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

The spelling of 1023121797120 in words is "one trillion, twenty-three billion, one hundred twenty-one million, seven hundred ninety-seven thousand, one hundred twenty".