201214302120 has 256 divisors, whose sum is σ = 722717856000. Its totient is φ = 49501559808.

The previous prime is 201214302103. The next prime is 201214302131. The reversal of 201214302120 is 21203412102.

It is a happy number.

201214302120 is a `hidden beast` number, since 2 + 0 + 1 + 21 + 430 + 212 + 0 = 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 = 201214302093 and 201214302102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36206382 + ... + 36211938.

It is an arithmetic number, because the mean of its divisors is an integer number (2823116625).

Almost surely, 2^201214302120 is an apocalyptic number.

201214302120 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 201214302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361358928000).

201214302120 is an abundant number, since it is smaller than the sum of its proper divisors (521503553880).

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

201214302120 is a wasteful number, since it uses less digits than its factorization.

201214302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8169 (or 8159 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201214302120 its reverse (21203412102), we get a palindrome (222417714222).

It can be divided in two parts, 20121 and 4302120, that added together give a square (4322241 = 2079²).

The spelling of 201214302120 in words is "two hundred one billion, two hundred fourteen million, three hundred two thousand, one hundred twenty".