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121303033032 = 23329617339139
BaseRepresentation
bin111000011111000111…
…0010110010011001000
3102121002211001112210010
41300332032112103020
53441412034024112
6131420440551520
711523000524346
oct1607616262310
9377084045703
10121303033032
1147498444125
121b6141825a0
13b592144a2c
145c2a416996
15324e59463c
hex1c3e3964c8

121303033032 has 128 divisors (see below), whose sum is σ = 323233776000. Its totient is φ = 37873059840.

The previous prime is 121303033031. The next prime is 121303033039. The reversal of 121303033032 is 230330303121.

It is a super-2 number, since 2×1213030330322 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121303033031) 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, 3079719 + ... + 3118857.

It is an arithmetic number, because the mean of its divisors is an integer number (2525263875).

Almost surely, 2121303033032 is an apocalyptic number.

121303033032 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 121303033032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161616888000).

121303033032 is an abundant number, since it is smaller than the sum of its proper divisors (201930742968).

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

121303033032 is a wasteful number, since it uses less digits than its factorization.

121303033032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39311 (or 39307 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 121303033032 its reverse (230330303121), we get a palindrome (351633336153).

The spelling of 121303033032 in words is "one hundred twenty-one billion, three hundred three million, thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 61 73 87 116 122 146 174 183 219 232 244 292 348 366 438 488 584 696 732 876 1464 1752 1769 2117 3538 4234 4453 5307 6351 7076 8468 8906 10614 12702 13359 14152 16936 17812 21228 25404 26718 35624 39139 42456 50808 53436 78278 106872 117417 129137 156556 234834 258274 313112 387411 469668 516548 774822 939336 1033096 1135031 1549644 2270062 2387479 2857147 3099288 3405093 4540124 4774958 5714294 6810186 7162437 8571441 9080248 9549916 11428588 13620372 14324874 17142882 19099832 22857176 27240744 28649748 34285764 57299496 68571528 69236891 82857263 138473782 165714526 174285967 207710673 248571789 276947564 331429052 348571934 415421346 497143578 522857901 553895128 662858104 697143868 830842692 994287156 1045715802 1394287736 1661685384 1988574312 2091431604 4182863208 5054293043 10108586086 15162879129 20217172172 30325758258 40434344344 60651516516 121303033032