210441400122000 has 640 divisors, whose sum is σ = 711594363617280. Its totient is φ = 53438434560000.

The previous prime is 210441400121971. The next prime is 210441400122029. The reversal of 210441400122000 is 221004144012.

It is an interprime number because it is at equal distance from previous prime (210441400121971) and next prime (210441400122029).

It is a super-2 number, since 2×210441400122000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6906722766 + ... + 6906753234.

It is an arithmetic number, because the mean of its divisors is an integer number (1111866193152).

Almost surely, 2^{210441400122000} is an apocalyptic number.

210441400122000 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 210441400122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355797181808640).

210441400122000 is an abundant number, since it is smaller than the sum of its proper divisors (501152963495280).

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

210441400122000 is a wasteful number, since it uses less digits than its factorization.

210441400122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31120 (or 31104 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 210441400122000 its reverse (221004144012), we get a palindrome (210662404266012).

The spelling of 210441400122000 in words is "two hundred ten trillion, four hundred forty-one billion, four hundred million, one hundred twenty-two thousand".