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121214314320 = 24351145914513
BaseRepresentation
bin111000011100011101…
…1111010011101010000
3102120212122010011120220
41300320323322131100
53441221331024240
6131403551233040
711520542446251
oct1607073723520
9376778104526
10121214314320
1147452358480
121b5aa518780
13b579951058
145c1c720b28
1532468bc5d0
hex1c38efa750

121214314320 has 80 divisors (see below), whose sum is σ = 409924780992. Its totient is φ = 29385287680.

The previous prime is 121214314303. The next prime is 121214314321. The reversal of 121214314320 is 23413412121.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121214314321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22954617 + ... + 22959896.

Almost surely, 2121214314320 is an apocalyptic number.

121214314320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121214314320 is an abundant number, since it is smaller than the sum of its proper divisors (288710466672).

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

121214314320 is a wasteful number, since it uses less digits than its factorization.

121214314320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45914540 (or 45914534 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 121214314320 its reverse (23413412121), we get a palindrome (144627726441).

It can be divided in two parts, 121214 and 314320, that added together give a palindrome (435534).

The spelling of 121214314320 in words is "one hundred twenty-one billion, two hundred fourteen million, three hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 45914513 91829026 137743539 183658052 229572565 275487078 367316104 459145130 505059643 550974156 688717695 734632208 918290260 1010119286 1101948312 1377435390 1515178929 1836580520 2020238572 2203896624 2525298215 2754870780 3030357858 3673161040 4040477144 5050596430 5509741560 6060715716 7575894645 8080954288 10101192860 11019483120 12121431432 15151789290 20202385720 24242862864 30303578580 40404771440 60607157160 121214314320