214872225120 has 936 divisors, whose sum is σ = 918444263184. Its totient is φ = 46528722432.

The previous prime is 214872225119. The next prime is 214872225121. The reversal of 214872225120 is 21522278412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (214872225119) and next prime (214872225121).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214872225121) by changing a digit.

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 155 ways as a sum of consecutive naturals, for example, 11309064471 + ... + 11309064489.

Almost surely, 2^214872225120 is an apocalyptic number.

214872225120 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 214872225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459222131592).

214872225120 is an abundant number, since it is smaller than the sum of its proper divisors (703572038064).

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

214872225120 is an frugal number, since it uses more digits than its factorization.

214872225120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 214872225120 in words is "two hundred fourteen billion, eight hundred seventy-two million, two hundred twenty-five thousand, one hundred twenty".