Search a number
-
+
121300012032 = 2103241163841
BaseRepresentation
bin111000011111000001…
…0110100110000000000
3102121002121101001202020
41300332002310300000
53441410300341112
6131420252121440
711522633042643
oct1607602646000
9377077331666
10121300012032
1147496770431
121b613166280
13b591627964
145c29c6ba5a
15324e19948c
hex1c3e0b4c00

121300012032 has 88 divisors (see below), whose sum is σ = 324652267632. Its totient is φ = 40265318400.

The previous prime is 121300012019. The next prime is 121300012049. The reversal of 121300012032 is 230210003121.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 658432 + ... + 822272.

It is an arithmetic number, because the mean of its divisors is an integer number (3689230314).

Almost surely, 2121300012032 is an apocalyptic number.

121300012032 is a gapful number since it is divisible by the number (12) 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 121300012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162326133816).

121300012032 is an abundant number, since it is smaller than the sum of its proper divisors (203352255600).

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

121300012032 is a wasteful number, since it uses less digits than its factorization.

121300012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164105 (or 164087 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 121300012032 its reverse (230210003121), we get a palindrome (351510015153).

The spelling of 121300012032 in words is "one hundred twenty-one billion, three hundred million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 241 256 384 482 512 723 768 964 1024 1446 1536 1928 2892 3072 3856 5784 7712 11568 15424 23136 30848 46272 61696 92544 123392 163841 185088 246784 327682 370176 491523 655364 740352 983046 1310728 1966092 2621456 3932184 5242912 7864368 10485824 15728736 20971648 31457472 39485681 41943296 62914944 78971362 83886592 118457043 125829888 157942724 167773184 236914086 251659776 315885448 473828172 503319552 631770896 947656344 1263541792 1895312688 2527083584 3790625376 5054167168 7581250752 10108334336 15162501504 20216668672 30325003008 40433337344 60650006016 121300012032