1322154971280 has 1920 divisors, whose sum is σ = 5805519422976. Its totient is φ = 274710528000.

The previous prime is 1322154971251. The next prime is 1322154971281. The reversal of 1322154971280 is 821794512231.

1322154971280 is a `hidden beast` number, since 1 + 3 + 2 + 21 + 549 + 7 + 1 + 2 + 80 = 666.

It is a super-3 number, since 3×1322154971280³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1322154971281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4773122502 + ... + 4773122778.

Almost surely, 2^{1322154971280} is an apocalyptic number.

1322154971280 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 1322154971280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902759711488).

1322154971280 is an abundant number, since it is smaller than the sum of its proper divisors (4483364451696).

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

1322154971280 is a wasteful number, since it uses less digits than its factorization.

1322154971280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1322154971280 in words is "one trillion, three hundred twenty-two billion, one hundred fifty-four million, nine hundred seventy-one thousand, two hundred eighty".