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12400122044310 = 235721113371639781
BaseRepresentation
bin1011010001110010000011…
…0111101001111110010110
31121220102212211021222002220
42310130200313221332112
53111130422220404220
642212312030043210
72416610404200600
oct264344067517626
947812784258086
1012400122044310
113a50953694970
121483287949506
136bc4323bc4a0
1430c252070170
151678503c5540
hexb4720de9f96

12400122044310 has 768 divisors, whose sum is σ = 42031194928128. Its totient is φ = 2299730227200.

The previous prime is 12400122044279. The next prime is 12400122044339. The reversal of 12400122044310 is 1344022100421.

It is a super-2 number, since 2×124001220443102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1267771620 + ... + 1267781400.

It is an arithmetic number, because the mean of its divisors is an integer number (54728118396).

Almost surely, 212400122044310 is an apocalyptic number.

12400122044310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12400122044310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21015597464064).

12400122044310 is an abundant number, since it is smaller than the sum of its proper divisors (29631072883818).

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

12400122044310 is a wasteful number, since it uses less digits than its factorization.

12400122044310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10029 (or 10022 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12400122044310 its reverse (1344022100421), we get a palindrome (13744144144731).

The spelling of 12400122044310 in words is "twelve trillion, four hundred billion, one hundred twenty-two million, forty-four thousand, three hundred ten".