1202208118272 has 240 divisors, whose sum is σ = 4174022012160. Its totient is φ = 325409550336.

The previous prime is 1202208118229. The next prime is 1202208118351. The reversal of 1202208118272 is 2728118022021.

1202208118272 is a `hidden beast` number, since 1 + 202 + 208 + 1 + 182 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367948 + ... + 1593675.

It is an arithmetic number, because the mean of its divisors is an integer number (17391758384).

Almost surely, 2^{1202208118272} is an apocalyptic number.

1202208118272 is a gapful number since it is divisible by the number (12) 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 1202208118272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087011006080).

1202208118272 is an abundant number, since it is smaller than the sum of its proper divisors (2971813893888).

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

1202208118272 is a wasteful number, since it uses less digits than its factorization.

1202208118272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961673 (or 1961654 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 1202208118272 in words is "one trillion, two hundred two billion, two hundred eight million, one hundred eighteen thousand, two hundred seventy-two".