35121332000 has 96 divisors (see below), whose sum is σ = 86365594224. Its totient is φ = 14036736000.

The previous prime is 35121331997. The next prime is 35121332023. The reversal of 35121332000 is 23312153.

It can be written as a sum of positive squares in 8 ways, for example, as 10320121744 + 24801210256 = 101588^2 + 157484^2 .

It is a super-2 number, since 2×35121332000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 5969060 + ... + 5974940.

Almost surely, 2^35121332000 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 35121332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43182797112).

35121332000 is an abundant number, since it is smaller than the sum of its proper divisors (51244262224).

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

35121332000 is a wasteful number, since it uses less digits than its factorization.

35121332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7399 (or 7381 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 35121332000 its reverse (23312153), we get a palindrome (35144644153).

The spelling of 35121332000 in words is "thirty-five billion, one hundred twenty-one million, three hundred thirty-two thousand".