Search a number
-
+
121214402341400 = 23526771127406351
BaseRepresentation
bin11011100011111001101101…
…011001001010101000011000
3120220011222120010000220010202
4123203321231121022220120
5111341434043444411100
61105445043325401332
734350310613601554
oct3343715531125030
9526158503026122
10121214402341400
1135693815083595
12117181b6109248
1352836137a4784
1421d0b46284864
15e030e894b7d5
hex6e3e6d64aa18

121214402341400 has 96 divisors (see below), whose sum is σ = 290058397217280. Its totient is φ = 47089386960000.

The previous prime is 121214402341367. The next prime is 121214402341421. The reversal of 121214402341400 is 4143204412121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62751776 + ... + 64654575.

It is an arithmetic number, because the mean of its divisors is an integer number (3021441637680).

Almost surely, 2121214402341400 is an apocalyptic number.

121214402341400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121214402341400 is an abundant number, since it is smaller than the sum of its proper divisors (168843994875880).

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

121214402341400 is a wasteful number, since it uses less digits than its factorization.

121214402341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127406505 (or 127406496 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 121214402341400 its reverse (4143204412121), we get a palindrome (125357606753521).

The spelling of 121214402341400 in words is "one hundred twenty-one trillion, two hundred fourteen billion, four hundred two million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 71 100 134 142 200 268 284 335 355 536 568 670 710 1340 1420 1675 1775 2680 2840 3350 3550 4757 6700 7100 9514 13400 14200 19028 23785 38056 47570 95140 118925 190280 237850 475700 951400 127406351 254812702 509625404 637031755 1019250808 1274063510 2548127020 3185158775 5096254040 6370317550 8536225517 9045850921 12740635100 17072451034 18091701842 25481270200 34144902068 36183403684 42681127585 45229254605 68289804136 72366807368 85362255170 90458509210 170724510340 180917018420 213405637925 226146273025 341449020680 361834036840 426811275850 452292546050 606072011707 853622551700 904585092100 1212144023414 1707245103400 1809170184200 2424288046828 3030360058535 4848576093656 6060720117070 12121440234140 15151800292675 24242880468280 30303600585350 60607201170700 121214402341400