1151240124405 has 64 divisors (see below), whose sum is σ = 2217621288960. Its totient is φ = 498199590144.

The previous prime is 1151240124323. The next prime is 1151240124431. The reversal of 1151240124405 is 5044210421511.

It is not a de Polignac number, because 1151240124405 - 2⁷ = 1151240124277 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2386707 + ... + 2828223.

It is an arithmetic number, because the mean of its divisors is an integer number (34650332640).

Almost surely, 2^{1151240124405} is an apocalyptic number.

1151240124405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1151240124405 is a deficient number, since it is larger than the sum of its proper divisors (1066381164555).

1151240124405 is a wasteful number, since it uses less digits than its factorization.

1151240124405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442858.

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 1151240124405 its reverse (5044210421511), we get a palindrome (6195450545916).

It can be divided in two parts, 11512401 and 24405, that added together give a triangular number (11536806 = T₄₈₀₃).

The spelling of 1151240124405 in words is "one trillion, one hundred fifty-one billion, two hundred forty million, one hundred twenty-four thousand, four hundred five".