1229340672000 has 1152 divisors, whose sum is σ = 5208299066880. Its totient is φ = 280284364800.

The previous prime is 1229340671969. The next prime is 1229340672047. The reversal of 1229340672000 is 2760439221.

1229340672000 is a `hidden beast` number, since 1 + 229 + 3 + 406 + 7 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×1229340672000³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3096575802 + ... + 3096576198.

It is an arithmetic number, because the mean of its divisors is an integer number (4521092940).

Almost surely, 2^{1229340672000} is an apocalyptic number.

1229340672000 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 1229340672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604149533440).

1229340672000 is an abundant number, since it is smaller than the sum of its proper divisors (3978958394880).

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

1229340672000 is an frugal number, since it uses more digits than its factorization.

1229340672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 1229340672000 in words is "one trillion, two hundred twenty-nine billion, three hundred forty million, six hundred seventy-two thousand".