1171125043200 has 1728 divisors, whose sum is σ = 5159309783040. Its totient is φ = 254803968000.

The previous prime is 1171125043183. The next prime is 1171125043201. The reversal of 1171125043200 is 23405211711.

1171125043200 is a `hidden beast` number, since 1 + 17 + 112 + 504 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1171125043201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19198771170 + ... + 19198771230.

It is an arithmetic number, because the mean of its divisors is an integer number (2985711680).

Almost surely, 2^{1171125043200} is an apocalyptic number.

1171125043200 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 1171125043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579654891520).

1171125043200 is an abundant number, since it is smaller than the sum of its proper divisors (3988184739840).

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

1171125043200 is an frugal number, since it uses more digits than its factorization.

1171125043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 1171125043200 in words is "one trillion, one hundred seventy-one billion, one hundred twenty-five million, forty-three thousand, two hundred".