35014212000 has 288 divisors, whose sum is σ = 127160953920. Its totient is φ = 9119577600.

The previous prime is 35014211983. The next prime is 35014212019. The reversal of 35014212000 is 21241053.

35014212000 is a `hidden beast` number, since 3 + 501 + 42 + 120 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1536691 + ... + 1559309.

It is an arithmetic number, because the mean of its divisors is an integer number (441531090).

Almost surely, 2^35014212000 is an apocalyptic number.

35014212000 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 35014212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63580476960).

35014212000 is an abundant number, since it is smaller than the sum of its proper divisors (92146741920).

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

35014212000 is a wasteful number, since it uses less digits than its factorization.

35014212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22693 (or 22672 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 35014212000 its reverse (21241053), we get a palindrome (35035453053).

The spelling of 35014212000 in words is "thirty-five billion, fourteen million, two hundred twelve thousand".