1292221952000 has 832 divisors, whose sum is σ = 3956792426496. Its totient is φ = 411225292800.

The previous prime is 1292221951973. The next prime is 1292221952009. The reversal of 1292221952000 is 2591222921.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (1292221952009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7737855917 + ... + 7737856083.

It is an arithmetic number, because the mean of its divisors is an integer number (4755760128).

Almost surely, 2^{1292221952000} is an apocalyptic number.

1292221952000 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 1292221952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978396213248).

1292221952000 is an abundant number, since it is smaller than the sum of its proper divisors (2664570474496).

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

1292221952000 is a wasteful number, since it uses less digits than its factorization.

1292221952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 1292221952000 in words is "one trillion, two hundred ninety-two billion, two hundred twenty-one million, nine hundred fifty-two thousand".