120011012011000 has 384 divisors, whose sum is σ = 318108814920000. Its totient is φ = 42025949952000.

The previous prime is 120011012010997. The next prime is 120011012011061. The reversal of 120011012011000 is 110210110021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3598622326 + ... + 3598655674.

Almost surely, 2^{120011012011000} is an apocalyptic number.

120011012011000 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 120011012011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159054407460000).

120011012011000 is an abundant number, since it is smaller than the sum of its proper divisors (198097802909000).

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

120011012011000 is a wasteful number, since it uses less digits than its factorization.

120011012011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33828 (or 33785 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 120011012011000 its reverse (110210110021), we get a palindrome (120121222121021).

The spelling of 120011012011000 in words is "one hundred twenty trillion, eleven billion, twelve million, eleven thousand".