12234958273440 has 192 divisors, whose sum is σ = 48939833214720. Its totient is φ = 2796561884160.

The previous prime is 12234958273403. The next prime is 12234958273441. The reversal of 12234958273440 is 4437285943221.

12234958273440 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 495 + 82 + 7 + 34 + 40 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12234958273441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202267351 + ... + 202327830.

It is an arithmetic number, because the mean of its divisors is an integer number (254894964660).

Almost surely, 2^{12234958273440} is an apocalyptic number.

12234958273440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12234958273440 is an abundant number, since it is smaller than the sum of its proper divisors (36704874941280).

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

12234958273440 is a wasteful number, since it uses less digits than its factorization.

12234958273440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404595212 (or 404595198 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 12234958273440 in words is "twelve trillion, two hundred thirty-four billion, nine hundred fifty-eight million, two hundred seventy-three thousand, four hundred forty".