35222435252000 has 384 divisors, whose sum is σ = 95168464634880. Its totient is φ = 12758043033600.

The previous prime is 35222435251973. The next prime is 35222435252003. The reversal of 35222435252000 is 25253422253.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (35222435252003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188470604 + ... + 188657396.

It is an arithmetic number, because the mean of its divisors is an integer number (247834543320).

Almost surely, 2^{35222435252000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35222435252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47584232317440).

35222435252000 is an abundant number, since it is smaller than the sum of its proper divisors (59946029382880).

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

35222435252000 is a wasteful number, since it uses less digits than its factorization.

35222435252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186941 (or 186923 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 35.

Adding to 35222435252000 its reverse (25253422253), we get a palindrome (35247688674253).

The spelling of 35222435252000 in words is "thirty-five trillion, two hundred twenty-two billion, four hundred thirty-five million, two hundred fifty-two thousand".