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1230121021120 = 26526315319547
BaseRepresentation
bin10001111001101000111…
…011010010111011000000
311100121011020201112010021
4101321220323102323000
5130123241440133440
62341035414343224
7154605355105105
oct21715073227300
94317136645107
101230121021120
1143476727a082
1217a4a505ab14
138bccca73724
1443776a76aac
1521ee926c84a
hex11e68ed2ec0

1230121021120 has 112 divisors (see below), whose sum is σ = 2942592162048. Its totient is φ = 489806023680.

The previous prime is 1230121021097. The next prime is 1230121021133. The reversal of 1230121021120 is 211201210321.

It is a super-2 number, since 2×12301210211202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1230121021094 and 1230121021103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128844187 + ... + 128853733.

It is an arithmetic number, because the mean of its divisors is an integer number (26273144304).

Almost surely, 21230121021120 is an apocalyptic number.

1230121021120 is a gapful number since it is divisible by the number (10) 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 1230121021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471296081024).

1230121021120 is an abundant number, since it is smaller than the sum of its proper divisors (1712471140928).

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

1230121021120 is a wasteful number, since it uses less digits than its factorization.

1230121021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11358 (or 11348 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1230121021120 its reverse (211201210321), we get a palindrome (1441322231441).

The spelling of 1230121021120 in words is "one trillion, two hundred thirty billion, one hundred twenty-one million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 263 320 526 1052 1315 1531 2104 2630 3062 4208 5260 6124 7655 8416 9547 10520 12248 15310 16832 19094 21040 24496 30620 38188 42080 47735 48992 61240 76376 84160 95470 97984 122480 152752 190940 244960 305504 381880 402653 489920 611008 763760 805306 1527520 1610612 2013265 2510861 3055040 3221224 4026530 5021722 6442448 8053060 10043444 12554305 12884896 14616457 16106120 20086888 25108610 25769792 29232914 32212240 40173776 50217220 58465828 64424480 73082285 80347552 100434440 116931656 128848960 146164570 160695104 200868880 233863312 292329140 401737760 467726624 584658280 803475520 935453248 1169316560 2338633120 3844128191 4677266240 7688256382 15376512764 19220640955 30753025528 38441281910 61506051056 76882563820 123012102112 153765127640 246024204224 307530255280 615060510560 1230121021120