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24220010001220 = 2251117243101239367
BaseRepresentation
bin1011000000111001010010…
…00101111011001101000100
310011202102002010210021102121
411200130221011323031010
511133310040030014340
6123302304034015324
75046560266132015
oct540345105731504
9104672063707377
1024220010001220
11779871525a9a0
122872000417544
131068c24b98537
145da37d00900c
152c0040d5994a
hex16072917b344

24220010001220 has 576 divisors, whose sum is σ = 61331109396480. Its totient is φ = 7960974336000.

The previous prime is 24220010001157. The next prime is 24220010001247. The reversal of 24220010001220 is 2210001002242.

It is a junction number, because it is equal to n+sod(n) for n = 24220010001194 and 24220010001203.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65994577477 + ... + 65994577843.

It is an arithmetic number, because the mean of its divisors is an integer number (106477620480).

Almost surely, 224220010001220 is an apocalyptic number.

24220010001220 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 24220010001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30665554698240).

24220010001220 is an abundant number, since it is smaller than the sum of its proper divisors (37111099395260).

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

24220010001220 is a wasteful number, since it uses less digits than its factorization.

24220010001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 785 counting only the distinct ones).

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

Adding to 24220010001220 its reverse (2210001002242), we get a palindrome (26430011003462).

The spelling of 24220010001220 in words is "twenty-four trillion, two hundred twenty billion, ten million, one thousand, two hundred twenty".