210030312400000 has 192 divisors, whose sum is σ = 527789424393000. Its totient is φ = 83241354240000.

The previous prime is 210030312399983. The next prime is 210030312400031. The reversal of 210030312400000 is 4213030012.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 87088165066816 + 122942147333184 = 9332104^2 + 11087928^2 .

It is a super-2 number, since 2×210030312400000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41191396 + ... + 46008604.

Almost surely, 2^{210030312400000} is an apocalyptic number.

210030312400000 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 210030312400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263894712196500).

210030312400000 is an abundant number, since it is smaller than the sum of its proper divisors (317759111993000).

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

210030312400000 is an frugal number, since it uses more digits than its factorization.

210030312400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4817357 (or 4817325 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 210030312400000 its reverse (4213030012), we get a palindrome (210034525430012).

The spelling of 210030312400000 in words is "two hundred ten trillion, thirty billion, three hundred twelve million, four hundred thousand".