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22123011120 = 24357314211009
BaseRepresentation
bin10100100110101000…
…100101110000110000
32010002210100102000020
4110212220211300300
5330301442323440
614055124523440
71412141330460
oct244650456060
963083312006
1022123011120
119422954771
124354b50580
132117491632
1410dc241ba0
1589732b3d0
hex526a25c30

22123011120 has 320 divisors, whose sum is σ = 81179566080. Its totient is φ = 4877107200.

The previous prime is 22123011109. The next prime is 22123011167. The reversal of 22123011120 is 2111032122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22123011120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21925176 + ... + 21926184.

It is an arithmetic number, because the mean of its divisors is an integer number (253686144).

Almost surely, 222123011120 is an apocalyptic number.

22123011120 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 22123011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40589783040).

22123011120 is an abundant number, since it is smaller than the sum of its proper divisors (59056554960).

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

22123011120 is a wasteful number, since it uses less digits than its factorization.

22123011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 22123011120 its reverse (2111032122), we get a palindrome (24234043242).

The spelling of 22123011120 in words is "twenty-two billion, one hundred twenty-three million, eleven thousand, one hundred twenty".