216013214321220 has 96 divisors (see below), whose sum is σ = 608932502873856. Its totient is φ = 57213588672000.

The previous prime is 216013214321171. The next prime is 216013214321227. The reversal of 216013214321220 is 22123412310612.

It is a happy number.

It is a super-2 number, since 2×216013214321220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (216013214321227) 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, 59677822 + ... + 63193898.

It is an arithmetic number, because the mean of its divisors is an integer number (6343046904936).

Almost surely, 2^{216013214321220} is an apocalyptic number.

216013214321220 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 216013214321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304466251436928).

216013214321220 is an abundant number, since it is smaller than the sum of its proper divisors (392919288552636).

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

216013214321220 is a wasteful number, since it uses less digits than its factorization.

216013214321220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523021 (or 3523019 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 216013214321220 its reverse (22123412310612), we get a palindrome (238136626631832).

The spelling of 216013214321220 in words is "two hundred sixteen trillion, thirteen billion, two hundred fourteen million, three hundred twenty-one thousand, two hundred twenty".