1001212020000 has 360 divisors, whose sum is σ = 3573954768384. Its totient is φ = 265781952000.

The previous prime is 1001212019963. The next prime is 1001212020077. The reversal of 1001212020000 is 202121001.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40127529 + ... + 40152471.

Almost surely, 2^{1001212020000} is an apocalyptic number.

1001212020000 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 1001212020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786977384192).

1001212020000 is an abundant number, since it is smaller than the sum of its proper divisors (2572742748384).

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

1001212020000 is a wasteful number, since it uses less digits than its factorization.

1001212020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25202 (or 25176 counting only the distinct ones).

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

Adding to 1001212020000 its reverse (202121001), we get a palindrome (1001414141001).

The spelling of 1001212020000 in words is "one trillion, one billion, two hundred twelve million, twenty thousand".