33612141000 has 128 divisors (see below), whose sum is σ = 105084720000. Its totient is φ = 8944876800.

The previous prime is 33612140983. The next prime is 33612141001. The reversal of 33612141000 is 14121633.

It is a super-2 number, since 2×33612141000² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33612141001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1485774 + ... + 1508226.

It is an arithmetic number, because the mean of its divisors is an integer number (820974375).

Almost surely, 2^33612141000 is an apocalyptic number.

33612141000 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 33612141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52542360000).

33612141000 is an abundant number, since it is smaller than the sum of its proper divisors (71472579000).

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

33612141000 is a wasteful number, since it uses less digits than its factorization.

33612141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22976 (or 22962 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 33612141000 its reverse (14121633), we get a palindrome (33626262633).

The spelling of 33612141000 in words is "thirty-three billion, six hundred twelve million, one hundred forty-one thousand".