1210011012000 has 288 divisors, whose sum is σ = 4907805686784. Its totient is φ = 276573888000.

The previous prime is 1210011011953. The next prime is 1210011012043. The reversal of 1210011012000 is 2101100121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1210011012000² (a number of 25 digits) contains 22 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2148816 + ... + 2652815.

It is an arithmetic number, because the mean of its divisors is an integer number (17040991968).

Almost surely, 2^{1210011012000} is an apocalyptic number.

1210011012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1210011012000 is an abundant number, since it is smaller than the sum of its proper divisors (3697794674784).

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

1210011012000 is a wasteful number, since it uses less digits than its factorization.

1210011012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4801669 (or 4801648 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1210011012000 its reverse (2101100121), we get a palindrome (1212112112121).

The spelling of 1210011012000 in words is "one trillion, two hundred ten billion, eleven million, twelve thousand".