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22121440000 = 28541112569
BaseRepresentation
bin10100100110100010…
…100110001100000000
32010002200101120211121
4110212202212030000
5330301042040000
614055031122024
71412122065112
oct244642461400
963080346747
1022121440000
119421a81320
124354513314
13211706148a
1410dbd533b2
1589711ab1a
hex5268a6300

22121440000 has 180 divisors, whose sum is σ = 60198886440. Its totient is φ = 8043520000.

The previous prime is 22121439983. The next prime is 22121440001. The reversal of 22121440000 is 4412122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22121440001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1753716 + ... + 1766284.

It is an arithmetic number, because the mean of its divisors is an integer number (334438258).

Almost surely, 222121440000 is an apocalyptic number.

22121440000 is a gapful number since it is divisible by the number (20) 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 22121440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30099443220).

22121440000 is an abundant number, since it is smaller than the sum of its proper divisors (38077446440).

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

22121440000 is an equidigital number, since it uses as much as digits as its factorization.

22121440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12616 (or 12587 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22121440000 its reverse (4412122), we get a palindrome (22125852122).

The spelling of 22121440000 in words is "twenty-two billion, one hundred twenty-one million, four hundred forty thousand".