31111424141220 has 288 divisors, whose sum is σ = 96731762400000. Its totient is φ = 8091336084480.

The previous prime is 31111424141219. The next prime is 31111424141293. The reversal of 31111424141220 is 2214142411113.

31111424141220 is a `hidden beast` number, since 3 + 1 + 1 + 1 + 1 + 4 + 241 + 412 + 2 + 0 = 666.

It is a super-2 number, since 2×31111424141220² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 737548530 + ... + 737590710.

It is an arithmetic number, because the mean of its divisors is an integer number (335874175000).

Almost surely, 2^{31111424141220} is an apocalyptic number.

31111424141220 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 31111424141220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48365881200000).

31111424141220 is an abundant number, since it is smaller than the sum of its proper divisors (65620338258780).

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

31111424141220 is a wasteful number, since it uses less digits than its factorization.

31111424141220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42803 (or 42798 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 31111424141220 its reverse (2214142411113), we get a palindrome (33325566552333).

The spelling of 31111424141220 in words is "thirty-one trillion, one hundred eleven billion, four hundred twenty-four million, one hundred forty-one thousand, two hundred twenty".