1201012001000 has 96 divisors (see below), whose sum is σ = 3269203821000. Its totient is φ = 411775526400.

The previous prime is 1201012000997. The next prime is 1201012001009. The reversal of 1201012001000 is 1002101021.

It can be written as a sum of positive squares in 4 ways, for example, as 512779159396 + 688232841604 = 716086^2 + 829598^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (1201012001009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12206225 + ... + 12304224.

Almost surely, 2^{1201012001000} is an apocalyptic number.

1201012001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201012001000 is an abundant number, since it is smaller than the sum of its proper divisors (2068191820000).

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

1201012001000 is a wasteful number, since it uses less digits than its factorization.

1201012001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24510484 (or 24510463 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1201012001000 its reverse (1002101021), we get a palindrome (1202014102021).

The spelling of 1201012001000 in words is "one trillion, two hundred one billion, twelve million, one thousand".