311232101220 has 192 divisors, whose sum is σ = 1037894860800. Its totient is φ = 78112968192.

The previous prime is 311232101197. The next prime is 311232101239. The reversal of 311232101220 is 22101232113.

311232101220 is a `hidden beast` number, since 311 + 2 + 32 + 101 + 220 = 666.

311232101220 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 311232101193 and 311232101202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 534301 + ... + 952859.

It is an arithmetic number, because the mean of its divisors is an integer number (5405702400).

Almost surely, 2^311232101220 is an apocalyptic number.

311232101220 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 311232101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518947430400).

311232101220 is an abundant number, since it is smaller than the sum of its proper divisors (726662759580).

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

311232101220 is a wasteful number, since it uses less digits than its factorization.

311232101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418606 (or 418586 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 311232101220 its reverse (22101232113), we get a palindrome (333333333333).

The spelling of 311232101220 in words is "three hundred eleven billion, two hundred thirty-two million, one hundred one thousand, two hundred twenty".