214320112131120 has 160 divisors (see below), whose sum is σ = 670664238670080. Its totient is φ = 56612612152320.

The previous prime is 214320112131107. The next prime is 214320112131127. The reversal of 214320112131120 is 21131211023412.

It is a super-2 number, since 2×214320112131120² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (214320112131127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278526271 + ... + 279294689.

It is an arithmetic number, because the mean of its divisors is an integer number (4191651491688).

Almost surely, 2^{214320112131120} is an apocalyptic number.

214320112131120 is a gapful number since it is divisible by the number (20) 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 214320112131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335332119335040).

214320112131120 is an abundant number, since it is smaller than the sum of its proper divisors (456344126538960).

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

214320112131120 is a wasteful number, since it uses less digits than its factorization.

214320112131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779403 (or 779397 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 214320112131120 its reverse (21131211023412), we get a palindrome (235451323154532).

The spelling of 214320112131120 in words is "two hundred fourteen trillion, three hundred twenty billion, one hundred twelve million, one hundred thirty-one thousand, one hundred twenty".