201200301400 has 192 divisors, whose sum is σ = 554785920000. Its totient is φ = 67812393600.

The previous prime is 201200301373. The next prime is 201200301427. The reversal of 201200301400 is 4103002102.

It is an interprime number because it is at equal distance from previous prime (201200301373) and next prime (201200301427).

It is a super-2 number, since 2×201200301400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4022545 + ... + 4072255.

It is an arithmetic number, because the mean of its divisors is an integer number (2889510000).

Almost surely, 2^201200301400 is an apocalyptic number.

201200301400 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 201200301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277392960000).

201200301400 is an abundant number, since it is smaller than the sum of its proper divisors (353585618600).

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

201200301400 is a wasteful number, since it uses less digits than its factorization.

201200301400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49807 (or 49784 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 201200301400 its reverse (4103002102), we get a palindrome (205303303502).

The spelling of 201200301400 in words is "two hundred one billion, two hundred million, three hundred one thousand, four hundred".