35072948121120 has 1728 divisors, whose sum is σ = 162281504077056. Its totient is φ = 6964509081600.

The previous prime is 35072948121047. The next prime is 35072948121139. The reversal of 35072948121120 is 2112184927053.

35072948121120 is a `hidden beast` number, since 3 + 5 + 0 + 7 + 29 + 481 + 21 + 120 = 666.

It is a super-2 number, since 2×35072948121120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 1022487970 + ... + 1022522270.

It is an arithmetic number, because the mean of its divisors is an integer number (93912907452).

Almost surely, 2^{35072948121120} is an apocalyptic number.

35072948121120 is a gapful number since it is divisible by the number (30) 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 35072948121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81140752038528).

35072948121120 is an abundant number, since it is smaller than the sum of its proper divisors (127208555955936).

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

35072948121120 is a wasteful number, since it uses less digits than its factorization.

35072948121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34385 (or 34348 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 35072948121120 in words is "thirty-five trillion, seventy-two billion, nine hundred forty-eight million, one hundred twenty-one thousand, one hundred twenty".