1026621050112 has 1152 divisors, whose sum is σ = 3919613644800. Its totient is φ = 261213880320.

The previous prime is 1026621050111. The next prime is 1026621050123. The reversal of 1026621050112 is 2110501266201.

1026621050112 is a `hidden beast` number, since 1 + 0 + 26 + 621 + 0 + 5 + 0 + 1 + 12 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026621050111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1265870187 + ... + 1265870997.

It is an arithmetic number, because the mean of its divisors is an integer number (3402442400).

Almost surely, 2^{1026621050112} is an apocalyptic number.

1026621050112 is a gapful number since it is divisible by the number (12) 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 1026621050112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959806822400).

1026621050112 is an abundant number, since it is smaller than the sum of its proper divisors (2892992594688).

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

1026621050112 is an frugal number, since it uses more digits than its factorization.

1026621050112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 1026621050112 in words is "one trillion, twenty-six billion, six hundred twenty-one million, fifty thousand, one hundred twelve".