109321162222272 has 448 divisors, whose sum is σ = 405242828734464. Its totient is φ = 25071264092160.

The previous prime is 109321162222271. The next prime is 109321162222273. The reversal of 109321162222272 is 272222261123901.

It is an interprime number because it is at equal distance from previous prime (109321162222271) and next prime (109321162222273).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×109321162222272² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (109321162222271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7945068 + ... + 16785899.

It is an arithmetic number, because the mean of its divisors is an integer number (904559885568).

Almost surely, 2^{109321162222272} is an apocalyptic number.

109321162222272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

109321162222272 is an abundant number, since it is smaller than the sum of its proper divisors (295921666512192).

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

109321162222272 is a wasteful number, since it uses less digits than its factorization.

109321162222272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24731036 (or 24731026 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 109321162222272 in words is "one hundred nine trillion, three hundred twenty-one billion, one hundred sixty-two million, two hundred twenty-two thousand, two hundred seventy-two".