37121120343216 has 720 divisors, whose sum is σ = 133703137451520. Its totient is φ = 9762480599040.

The previous prime is 37121120343187. The next prime is 37121120343217. The reversal of 37121120343216 is 61234302112173.

37121120343216 is a `hidden beast` number, since 3 + 7 + 1 + 2 + 1 + 1 + 203 + 432 + 16 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (37121120343217) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1651210696 + ... + 1651233176.

It is an arithmetic number, because the mean of its divisors is an integer number (185698802016).

Almost surely, 2^{37121120343216} is an apocalyptic number.

37121120343216 is a gapful number since it is divisible by the number (36) 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 37121120343216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66851568725760).

37121120343216 is an abundant number, since it is smaller than the sum of its proper divisors (96582017108304).

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

37121120343216 is a wasteful number, since it uses less digits than its factorization.

37121120343216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22896 (or 22865 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 37121120343216 its reverse (61234302112173), we get a palindrome (98355422455389).

The spelling of 37121120343216 in words is "thirty-seven trillion, one hundred twenty-one billion, one hundred twenty million, three hundred forty-three thousand, two hundred sixteen".