35222201345124 has 288 divisors, whose sum is σ = 100501522692480. Its totient is φ = 10334861881344.

The previous prime is 35222201344999. The next prime is 35222201345189. The reversal of 35222201345124 is 42154310222253.

35222201345124 is a `hidden beast` number, since 3 + 5 + 2 + 2 + 2 + 2 + 0 + 134 + 512 + 4 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 1402312614 + ... + 1402337730.

It is an arithmetic number, because the mean of its divisors is an integer number (348963620460).

Almost surely, 2^{35222201345124} is an apocalyptic number.

35222201345124 is a gapful number since it is divisible by the number (34) 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 35222201345124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50250761346240).

35222201345124 is an abundant number, since it is smaller than the sum of its proper divisors (65279321347356).

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

35222201345124 is a wasteful number, since it uses less digits than its factorization.

35222201345124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26699 (or 26694 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 35222201345124 its reverse (42154310222253), we get a palindrome (77376511567377).

The spelling of 35222201345124 in words is "thirty-five trillion, two hundred twenty-two billion, two hundred one million, three hundred forty-five thousand, one hundred twenty-four".