1020233312000 has 864 divisors, whose sum is σ = 3094154219520. Its totient is φ = 333849600000.

The previous prime is 1020233311963. The next prime is 1020233312009. The reversal of 1020233312000 is 2133320201.

It is a self number, because there is not a number n which added to its sum of digits gives 1020233312000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020233312009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6756511925 + ... + 6756512075.

Almost surely, 2^{1020233312000} is an apocalyptic number.

1020233312000 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 1020233312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547077109760).

1020233312000 is an abundant number, since it is smaller than the sum of its proper divisors (2073920907520).

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

1020233312000 is a wasteful number, since it uses less digits than its factorization.

1020233312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1020233312000 its reverse (2133320201), we get a palindrome (1022366632201).

The spelling of 1020233312000 in words is "one trillion, twenty billion, two hundred thirty-three million, three hundred twelve thousand".