120001210000 has 200 divisors, whose sum is σ = 334268299904. Its totient is φ = 40867200000.

The previous prime is 120001209947. The next prime is 120001210027. The reversal of 120001210000 is 12100021.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×120001210000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10564324 + ... + 10575676.

Almost surely, 2^120001210000 is an apocalyptic number.

120001210000 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 120001210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167134149952).

120001210000 is an abundant number, since it is smaller than the sum of its proper divisors (214267089904).

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

120001210000 is a wasteful number, since it uses less digits than its factorization.

120001210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11539 (or 11518 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 120001210000 its reverse (12100021), we get a palindrome (120013310021).

The spelling of 120001210000 in words is "one hundred twenty billion, one million, two hundred ten thousand".