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121251032016 = 2431731927061
BaseRepresentation
bin111000011101100011…
…1111110101111010000
3102120222012012121210120
41300323013332233100
53441310231011031
6131411342230240
711521466524032
oct1607307765720
9376865177716
10121251032016
1147471056a84
121b5ba885380
13b5844388ba
145c2355bc52
153249c21a96
hex1c3b1febd0

121251032016 has 160 divisors (see below), whose sum is σ = 350333827200. Its totient is φ = 36036126720.

The previous prime is 121251032009. The next prime is 121251032047. The reversal of 121251032016 is 610230152121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4467126 + ... + 4494186.

It is an arithmetic number, because the mean of its divisors is an integer number (2189586420).

Almost surely, 2121251032016 is an apocalyptic number.

121251032016 is a gapful number since it is divisible by the number (16) 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 121251032016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175166913600).

121251032016 is an abundant number, since it is smaller than the sum of its proper divisors (229082795184).

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

121251032016 is a wasteful number, since it uses less digits than its factorization.

121251032016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27142 (or 27102 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 121251032016 its reverse (610230152121), we get a palindrome (731481184137).

The spelling of 121251032016 in words is "one hundred twenty-one billion, two hundred fifty-one million, thirty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 289 304 323 408 456 578 646 816 867 912 969 1156 1292 1734 1938 2312 2584 3468 3876 4624 4913 5168 5491 6936 7752 9826 10982 13872 14739 15504 16473 19652 21964 27061 29478 32946 39304 43928 54122 58956 65892 78608 81183 87856 93347 108244 117912 131784 162366 186694 216488 235824 263568 280041 324732 373388 432976 460037 514159 560082 649464 746776 920074 1028318 1120164 1298928 1380111 1493552 1542477 1840148 2056636 2240328 2760222 3084954 3680296 4113272 4480656 5520444 6169908 7360592 7820629 8226544 8740703 11040888 12339816 15641258 17481406 22081776 23461887 24679632 26222109 31282516 34962812 46923774 52444218 62565032 69925624 93847548 104888436 125130064 132950693 139851248 148591951 187695096 209776872 265901386 297183902 375390192 398852079 419553744 445775853 531802772 594367804 797704158 891551706 1063605544 1188735608 1595408316 1783103412 2127211088 2377471216 2526063167 3190816632 3566206824 5052126334 6381633264 7132413648 7578189501 10104252668 15156379002 20208505336 30312758004 40417010672 60625516008 121251032016