1121561126400 has 960 divisors, whose sum is σ = 4503469259520. Its totient is φ = 242289868800.

The previous prime is 1121561126311. The next prime is 1121561126437. The reversal of 1121561126400 is 46211651211.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159241279 + ... + 159248321.

It is an arithmetic number, because the mean of its divisors is an integer number (4691113812).

Almost surely, 2^{1121561126400} is an apocalyptic number.

1121561126400 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 1121561126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251734629760).

1121561126400 is an abundant number, since it is smaller than the sum of its proper divisors (3381908133120).

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

1121561126400 is a wasteful number, since it uses less digits than its factorization.

1121561126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7127 (or 7106 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

Adding to 1121561126400 its reverse (46211651211), we get a palindrome (1167772777611).

The spelling of 1121561126400 in words is "one trillion, one hundred twenty-one billion, five hundred sixty-one million, one hundred twenty-six thousand, four hundred".