1022201312000 has 576 divisors, whose sum is σ = 2856919403520. Its totient is φ = 361304064000.

The previous prime is 1022201311993. The next prime is 1022201312023. The reversal of 1022201312000 is 2131022201.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 2098975757 + ... + 2098976243.

It is an arithmetic number, because the mean of its divisors is an integer number (4959929520).

Almost surely, 2^{1022201312000} is an apocalyptic number.

1022201312000 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 1022201312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428459701760).

1022201312000 is an abundant number, since it is smaller than the sum of its proper divisors (1834718091520).

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

1022201312000 is an equidigital number, since it uses as much as digits as its factorization.

1022201312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1022201312000 its reverse (2131022201), we get a palindrome (1024332334201).

The spelling of 1022201312000 in words is "one trillion, twenty-two billion, two hundred one million, three hundred twelve thousand".