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22124123441420 = 2257111361179101209
BaseRepresentation
bin1010000011111001011001…
…00001001100100100001100
32220100001020012110111100212
411001330230201030210030
510344440201100111140
6115015403151141552
74442262255252320
oct501745441144414
986301205414325
1022124123441420
11705a8739a9570
1225939782148b8
13c463b00b4320
14566b5593b980
15285774d24765
hex141f2c84c90c

22124123441420 has 384 divisors, whose sum is σ = 63758219212800. Its totient is φ = 6225992294400.

The previous prime is 22124123441341. The next prime is 22124123441489. The reversal of 22124123441420 is 2414432142122.

It is a super-3 number, since 3×221241234414203 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 218547776 + ... + 218648984.

It is an arithmetic number, because the mean of its divisors is an integer number (166037029200).

Almost surely, 222124123441420 is an apocalyptic number.

22124123441420 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 22124123441420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31879109606400).

22124123441420 is an abundant number, since it is smaller than the sum of its proper divisors (41634095771380).

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

22124123441420 is a wasteful number, since it uses less digits than its factorization.

22124123441420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101489 (or 101487 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 22124123441420 its reverse (2414432142122), we get a palindrome (24538555583542).

The spelling of 22124123441420 in words is "twenty-two trillion, one hundred twenty-four billion, one hundred twenty-three million, four hundred forty-one thousand, four hundred twenty".