132121031210440 has 288 divisors, whose sum is σ = 339571627845480. Its totient is φ = 46232636276736.

The previous prime is 132121031210407. The next prime is 132121031210449. The reversal of 132121031210440 is 44012130121231.

It can be written as a sum of positive squares in 12 ways, for example, as 102373802584036 + 29747228626404 = 10117994^2 + 5454102^2 .

It is a super-2 number, since 2×132121031210440² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132121031210449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 220878804 + ... + 221476156.

Almost surely, 2^{132121031210440} is an apocalyptic number.

132121031210440 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 132121031210440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169785813922740).

132121031210440 is an abundant number, since it is smaller than the sum of its proper divisors (207450596635040).

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

132121031210440 is a wasteful number, since it uses less digits than its factorization.

132121031210440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597489 (or 597449 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 132121031210440 its reverse (44012130121231), we get a palindrome (176133161331671).

The spelling of 132121031210440 in words is "one hundred thirty-two trillion, one hundred twenty-one billion, thirty-one million, two hundred ten thousand, four hundred forty".