215412120 has 384 divisors, whose sum is σ = 921024000. Its totient is φ = 42301440.

The previous prime is 215412107. The next prime is 215412121. The reversal of 215412120 is 21214512.

215412120 is a `hidden beast` number, since 2 + 1 + 541 + 2 + 120 = 666.

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 = 215412093 and 215412102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215412121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 526476 + ... + 526884.

It is an arithmetic number, because the mean of its divisors is an integer number (2398500).

Almost surely, 2^215412120 is an apocalyptic number.

215412120 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 215412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460512000).

215412120 is an abundant number, since it is smaller than the sum of its proper divisors (705611880).

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

215412120 is a wasteful number, since it uses less digits than its factorization.

215412120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 215412120 is about 14676.9247460086. The cubic root of 215412120 is about 599.4551720873.

Adding to 215412120 its reverse (21214512), we get a palindrome (236626632).

The spelling of 215412120 in words is "two hundred fifteen million, four hundred twelve thousand, one hundred twenty".