201122121440 has 24 divisors (see below), whose sum is σ = 475151012280. Its totient is φ = 80448848512.

The previous prime is 201122121437. The next prime is 201122121491. The reversal of 201122121440 is 44121221102.

It is a super-2 number, since 2×201122121440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 628506470 + ... + 628506789.

It is an arithmetic number, because the mean of its divisors is an integer number (19797958845).

Almost surely, 2^201122121440 is an apocalyptic number.

201122121440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122121440 is an abundant number, since it is smaller than the sum of its proper divisors (274028890840).

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

201122121440 is a wasteful number, since it uses less digits than its factorization.

201122121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257013274 (or 1257013266 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 201122121440 its reverse (44121221102), we get a palindrome (245243342542).

The spelling of 201122121440 in words is "two hundred one billion, one hundred twenty-two million, one hundred twenty-one thousand, four hundred forty".