35136122112 has 432 divisors, whose sum is σ = 128614039680. Its totient is φ = 9264513024.

The previous prime is 35136122071. The next prime is 35136122141. The reversal of 35136122112 is 21122163153.

35136122112 is a `hidden beast` number, since 3 + 5 + 13 + 612 + 21 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 8174748 + ... + 8179044.

Almost surely, 2^35136122112 is an apocalyptic number.

35136122112 is a gapful number since it is divisible by the number (32) 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 35136122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64307019840).

35136122112 is an abundant number, since it is smaller than the sum of its proper divisors (93477917568).

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

35136122112 is a wasteful number, since it uses less digits than its factorization.

35136122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4355 (or 4322 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

Adding to 35136122112 its reverse (21122163153), we get a palindrome (56258285265).

It can be divided in two parts, 3513 and 6122112, that added together give a square (6125625 = 2475²).

The spelling of 35136122112 in words is "thirty-five billion, one hundred thirty-six million, one hundred twenty-two thousand, one hundred twelve".