1002012312000 has 224 divisors, whose sum is σ = 3781308810240. Its totient is φ = 229031347200.

The previous prime is 1002012311983. The next prime is 1002012312047. The reversal of 1002012312000 is 2132102001.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2814180 + ... + 3150179.

Almost surely, 2^{1002012312000} is an apocalyptic number.

1002012312000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002012312000 is an abundant number, since it is smaller than the sum of its proper divisors (2779296498240).

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

1002012312000 is an equidigital number, since it uses as much as digits as its factorization.

1002012312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5964396 (or 5964376 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1002012312000 its reverse (2132102001), we get a palindrome (1004144414001).

The spelling of 1002012312000 in words is "one trillion, two billion, twelve million, three hundred twelve thousand".