120201003000 has 640 divisors, whose sum is σ = 455474859840. Its totient is φ = 29393280000.

The previous prime is 120201002947. The next prime is 120201003061. The reversal of 120201003000 is 300102021.

It is a happy number.

It is a super-2 number, since 2×120201003000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 222182730 + ... + 222183270.

Almost surely, 2^120201003000 is an apocalyptic number.

120201003000 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 120201003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227737429920).

120201003000 is an abundant number, since it is smaller than the sum of its proper divisors (335273856840).

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

120201003000 is a wasteful number, since it uses less digits than its factorization.

120201003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 120201003000 its reverse (300102021), we get a palindrome (120501105021).

The spelling of 120201003000 in words is "one hundred twenty billion, two hundred one million, three thousand".