214151303013120 has 864 divisors, whose sum is σ = 856505780230464. Its totient is φ = 48823979212800.

The previous prime is 214151303013023. The next prime is 214151303013127. The reversal of 214151303013120 is 21310303151412.

214151303013120 is a `hidden beast` number, since 2 + 1 + 4 + 15 + 1 + 30 + 301 + 312 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (214151303013127) 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, 2845713414 + ... + 2845788666.

It is an arithmetic number, because the mean of its divisors is an integer number (991326134526).

Almost surely, 2^{214151303013120} is an apocalyptic number.

214151303013120 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 214151303013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428252890115232).

214151303013120 is an abundant number, since it is smaller than the sum of its proper divisors (642354477217344).

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

214151303013120 is a wasteful number, since it uses less digits than its factorization.

214151303013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76629 (or 76612 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 214151303013120 its reverse (21310303151412), we get a palindrome (235461606164532).

The spelling of 214151303013120 in words is "two hundred fourteen trillion, one hundred fifty-one billion, three hundred three million, thirteen thousand, one hundred twenty".