120001133310000 has 400 divisors, whose sum is σ = 398293358926848. Its totient is φ = 31104518400000.

The previous prime is 120001133309989. The next prime is 120001133310017. The reversal of 120001133310000 is 13331100021.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-3 number, since 3×120001133310000³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 333149997 + ... + 333510003.

Almost surely, 2^{120001133310000} is an apocalyptic number.

120001133310000 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 120001133310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199146679463424).

120001133310000 is an abundant number, since it is smaller than the sum of its proper divisors (278292225616848).

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

120001133310000 is a wasteful number, since it uses less digits than its factorization.

120001133310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360350 (or 360329 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 120001133310000 its reverse (13331100021), we get a palindrome (120014464410021).

The spelling of 120001133310000 in words is "one hundred twenty trillion, one billion, one hundred thirty-three million, three hundred ten thousand".