1224946268160 has 192 divisors, whose sum is σ = 3922532490240. Its totient is φ = 326347161600.

The previous prime is 1224946268153. The next prime is 1224946268201. The reversal of 1224946268160 is 618626494221.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1224946268160² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33866085 + ... + 33902235.

It is an arithmetic number, because the mean of its divisors is an integer number (20429856720).

Almost surely, 2^{1224946268160} is an apocalyptic number.

1224946268160 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 1224946268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961266245120).

1224946268160 is an abundant number, since it is smaller than the sum of its proper divisors (2697586222080).

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

1224946268160 is a wasteful number, since it uses less digits than its factorization.

1224946268160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37284 (or 37264 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 1224946268160 in words is "one trillion, two hundred twenty-four billion, nine hundred forty-six million, two hundred sixty-eight thousand, one hundred sixty".