10541122400 has 144 divisors (see below), whose sum is σ = 26994897216. Its totient is φ = 4014673920.

The previous prime is 10541122381. The next prime is 10541122439. The reversal of 10541122400 is 422114501.

It is a happy number.

It is a super-2 number, since 2×10541122400² (a number of 21 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1387412 + ... + 1394988.

It is an arithmetic number, because the mean of its divisors is an integer number (187464564).

Almost surely, 2^10541122400 is an apocalyptic number.

10541122400 is a gapful number since it is divisible by the number (10) 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 10541122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13497448608).

10541122400 is an abundant number, since it is smaller than the sum of its proper divisors (16453774816).

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

10541122400 is a wasteful number, since it uses less digits than its factorization.

10541122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7681 (or 7668 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 10541122400 its reverse (422114501), we get a palindrome (10963236901).

The spelling of 10541122400 in words is "ten billion, five hundred forty-one million, one hundred twenty-two thousand, four hundred".