121122220032 has 144 divisors (see below), whose sum is σ = 381625957440. Its totient is φ = 36703641600.

The previous prime is 121122220027. The next prime is 121122220039. The reversal of 121122220032 is 230022221121.

121122220032 is a `hidden beast` number, since 1 + 211 + 222 + 200 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 121122219987 and 121122220014.

It is not an unprimeable number, because it can be changed into a prime (121122220039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95944 + ... + 501447.

It is an arithmetic number, because the mean of its divisors is an integer number (2650180260).

Almost surely, 2^121122220032 is an apocalyptic number.

121122220032 is a gapful number since it is divisible by the number (12) 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 121122220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190812978720).

121122220032 is an abundant number, since it is smaller than the sum of its proper divisors (260503737408).

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

121122220032 is a wasteful number, since it uses less digits than its factorization.

121122220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597430 (or 597407 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 121122220032 its reverse (230022221121), we get a palindrome (351144441153).

The spelling of 121122220032 in words is "one hundred twenty-one billion, one hundred twenty-two million, two hundred twenty thousand, thirty-two".