120203102016 has 336 divisors, whose sum is σ = 361494269136. Its totient is φ = 38154240000.

The previous prime is 120203101973. The next prime is 120203102119. The reversal of 120203102016 is 610201302021.

It can be written as a sum of positive squares in 8 ways, for example, as 86845732416 + 33357369600 = 294696^2 + 182640^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 120203102016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260744026 + ... + 260744486.

It is an arithmetic number, because the mean of its divisors is an integer number (1075875801).

Almost surely, 2^120203102016 is an apocalyptic number.

120203102016 is a gapful number since it is divisible by the number (16) 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 120203102016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180747134568).

120203102016 is an abundant number, since it is smaller than the sum of its proper divisors (241291167120).

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

120203102016 is a wasteful number, since it uses less digits than its factorization.

120203102016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120203102016 its reverse (610201302021), we get a palindrome (730404404037).

The spelling of 120203102016 in words is "one hundred twenty billion, two hundred three million, one hundred two thousand, sixteen".