1002012120000 has 1400 divisors, whose sum is σ = 4012383938640. Its totient is φ = 246343680000.

The previous prime is 1002012119971. The next prime is 1002012120029. The reversal of 1002012120000 is 212102001.

It is an interprime number because it is at equal distance from previous prime (1002012119971) and next prime (1002012120029).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 2523959802 + ... + 2523960198.

Almost surely, 2^{1002012120000} is an apocalyptic number.

1002012120000 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 1002012120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006191969320).

1002012120000 is an abundant number, since it is smaller than the sum of its proper divisors (3010371818640).

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

1002012120000 is an equidigital number, since it uses as much as digits as its factorization.

1002012120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1002012120000 its reverse (212102001), we get a palindrome (1002224222001).

The spelling of 1002012120000 in words is "one trillion, two billion, twelve million, one hundred twenty thousand".