1022153121540 has 240 divisors, whose sum is σ = 3390706497024. Its totient is φ = 257347238400.

The previous prime is 1022153121533. The next prime is 1022153121617. The reversal of 1022153121540 is 451213512201.

It is a happy number.

1022153121540 is a `hidden beast` number, since 102 + 2 + 1 + 5 + 3 + 12 + 1 + 540 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1810807 + ... + 2307233.

Almost surely, 2^{1022153121540} is an apocalyptic number.

1022153121540 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 1022153121540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695353248512).

1022153121540 is an abundant number, since it is smaller than the sum of its proper divisors (2368553375484).

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

1022153121540 is a wasteful number, since it uses less digits than its factorization.

1022153121540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496520 (or 496509 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 1022153121540 its reverse (451213512201), we get a palindrome (1473366633741).

The spelling of 1022153121540 in words is "one trillion, twenty-two billion, one hundred fifty-three million, one hundred twenty-one thousand, five hundred forty".