1202131510272 has 1584 divisors, whose sum is σ = 4752886394880. Its totient is φ = 288446054400.

The previous prime is 1202131510243. The next prime is 1202131510289. The reversal of 1202131510272 is 2720151312021.

It is a happy number.

1202131510272 is a `hidden beast` number, since 12 + 0 + 2 + 131 + 510 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4435909497 + ... + 4435909767.

Almost surely, 2^{1202131510272} is an apocalyptic number.

1202131510272 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 1202131510272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376443197440).

1202131510272 is an abundant number, since it is smaller than the sum of its proper divisors (3550754884608).

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

1202131510272 is a wasteful number, since it uses less digits than its factorization.

1202131510272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 1202131510272 its reverse (2720151312021), we get a palindrome (3922282822293).

The spelling of 1202131510272 in words is "one trillion, two hundred two billion, one hundred thirty-one million, five hundred ten thousand, two hundred seventy-two".