1021262138208 has 432 divisors, whose sum is σ = 3400764284736. Its totient is φ = 289446543360.

The previous prime is 1021262138201. The next prime is 1021262138231. The reversal of 1021262138208 is 8028312621201.

It is a happy number.

1021262138208 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 621 + 3 + 8 + 20 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021262138201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38875798 + ... + 38902058.

It is an arithmetic number, because the mean of its divisors is an integer number (7872139548).

Almost surely, 2^{1021262138208} is an apocalyptic number.

1021262138208 is a gapful number since it is divisible by the number (18) 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 1021262138208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700382142368).

1021262138208 is an abundant number, since it is smaller than the sum of its proper divisors (2379502146528).

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

1021262138208 is a wasteful number, since it uses less digits than its factorization.

1021262138208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26367 (or 26343 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 1021262138208 its reverse (8028312621201), we get a palindrome (9049574759409).

The spelling of 1021262138208 in words is "one trillion, twenty-one billion, two hundred sixty-two million, one hundred thirty-eight thousand, two hundred eight".