32112233220120 has 128 divisors (see below), whose sum is σ = 97269974979840. Its totient is φ = 8480358602240.

The previous prime is 32112233220103. The next prime is 32112233220241. The reversal of 32112233220120 is 2102233221123.

It is a super-3 number, since 3×32112233220120³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 37622890 + ... + 38466950.

It is an arithmetic number, because the mean of its divisors is an integer number (759921679530).

Almost surely, 2^{32112233220120} is an apocalyptic number.

32112233220120 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 32112233220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48634987489920).

32112233220120 is an abundant number, since it is smaller than the sum of its proper divisors (65157741759720).

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

32112233220120 is a wasteful number, since it uses less digits than its factorization.

32112233220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847145 (or 847141 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 32112233220120 its reverse (2102233221123), we get a palindrome (34214466441243).

The spelling of 32112233220120 in words is "thirty-two trillion, one hundred twelve billion, two hundred thirty-three million, two hundred twenty thousand, one hundred twenty".