1012122002000 has 80 divisors (see below), whose sum is σ = 2450653310352. Its totient is φ = 404295897600.

The previous prime is 1012122001999. The next prime is 1012122002027. The reversal of 1012122002000 is 2002212101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 388742274064 + 623379727936 = 623492^2 + 789544^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1120802 + ... + 1811198.

Almost surely, 2^{1012122002000} is an apocalyptic number.

1012122002000 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 1012122002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225326655176).

1012122002000 is an abundant number, since it is smaller than the sum of its proper divisors (1438531308352).

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

1012122002000 is an equidigital number, since it uses as much as digits as its factorization.

1012122002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691153 (or 691137 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1012122002000 its reverse (2002212101), we get a palindrome (1014124214101).

The spelling of 1012122002000 in words is "one trillion, twelve billion, one hundred twenty-two million, two thousand".