1231134690240 has 1344 divisors, whose sum is σ = 5463927705600. Its totient is φ = 258658541568.

The previous prime is 1231134690229. The next prime is 1231134690251. The reversal of 1231134690240 is 420964311321.

1231134690240 is a `hidden beast` number, since 12 + 311 + 3 + 4 + 6 + 90 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (1231134690229) and next prime (1231134690251).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1231134690195 and 1231134690204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2570218321 + ... + 2570218799.

It is an arithmetic number, because the mean of its divisors is an integer number (4065422400).

Almost surely, 2^{1231134690240} is an apocalyptic number.

1231134690240 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 1231134690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731963852800).

1231134690240 is an abundant number, since it is smaller than the sum of its proper divisors (4232793015360).

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

1231134690240 is a wasteful number, since it uses less digits than its factorization.

1231134690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1231134690240 in words is "one trillion, two hundred thirty-one billion, one hundred thirty-four million, six hundred ninety thousand, two hundred forty".