1134121400 has 96 divisors (see below), whose sum is σ = 2794166400. Its totient is φ = 426902400.

The previous prime is 1134121399. The next prime is 1134121409. The reversal of 1134121400 is 41214311.

1134121400 = T₆₄ + T₆₅ + ... + T₁₈₉₄.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134121409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 618485 + ... + 620315.

It is an arithmetic number, because the mean of its divisors is an integer number (29105900).

Almost surely, 2^1134121400 is an apocalyptic number.

1134121400 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 1134121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397083200).

1134121400 is an abundant number, since it is smaller than the sum of its proper divisors (1660045000).

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

1134121400 is a wasteful number, since it uses less digits than its factorization.

1134121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1134121400 is about 33676.7189613240. The cubic root of 1134121400 is about 1042.8452046279.

Adding to 1134121400 its reverse (41214311), we get a palindrome (1175335711).

The spelling of 1134121400 in words is "one billion, one hundred thirty-four million, one hundred twenty-one thousand, four hundred".