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12220123030302 = 2311473947998083
BaseRepresentation
bin1011000111010011100000…
…0101111010001100011110
31121021020021101101122101110
42301310320011322030132
53100203302443432202
641553502542322450
72400606016625235
oct261647005721436
947236241348343
1012220123030302
113991585966560
121454412589426
136a8477a31985
1430365844db1c
15162d17d1426c
hexb1d3817a31e

12220123030302 has 64 divisors (see below), whose sum is σ = 27236291088384. Its totient is φ = 3623357046240.

The previous prime is 12220123030289. The next prime is 12220123030303. The reversal of 12220123030302 is 20303032102221.

It is a happy number.

12220123030302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122201230303022 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220123030303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11744553 + ... + 12742635.

It is an arithmetic number, because the mean of its divisors is an integer number (425567048256).

Almost surely, 212220123030302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220123030302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13618145544192).

12220123030302 is an abundant number, since it is smaller than the sum of its proper divisors (15016168058082).

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

12220123030302 is a wasteful number, since it uses less digits than its factorization.

12220123030302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002093.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12220123030302 its reverse (20303032102221), we get a palindrome (32523155132523).

The spelling of 12220123030302 in words is "twelve trillion, two hundred twenty billion, one hundred twenty-three million, thirty thousand, three hundred two".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 517 1034 1551 3102 3947 7894 11841 23682 43417 86834 130251 185509 260502 371018 556527 998083 1113054 1996166 2040599 2994249 4081198 5988498 6121797 10978913 12243594 21957826 32936739 46909901 65873478 93819802 140729703 281459406 516008911 1032017822 1548026733 3096053466 3939433601 7878867202 11818300803 23636601606 43333769611 86667539222 130001308833 185153379247 260002617666 370306758494 555460137741 1110920275482 2036687171717 4073374343434 6110061515151 12220123030302