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121884493771290 = 235314912003133261
BaseRepresentation
bin11011101101101001110001…
…111101000111001000011010
3120222120001011221021111201210
4123231221301331013020122
5111433423420401140130
61111120544034323550
734446602244015645
oct3355516175071032
9528501157244653
10121884493771290
1135921a18236848
12118060464295b6
1353018737ac343
142215353340a5c
15e15766e3a5b0
hex6eda71f4721a

121884493771290 has 128 divisors (see below), whose sum is σ = 302727323787264. Its totient is φ = 31374094752000.

The previous prime is 121884493771279. The next prime is 121884493771301. The reversal of 121884493771290 is 92177394488121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121884493771279) and next prime (121884493771301).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 914563260 + ... + 914696520.

It is an arithmetic number, because the mean of its divisors is an integer number (2365057217088).

Almost surely, 2121884493771290 is an apocalyptic number.

121884493771290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121884493771290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151363661893632).

121884493771290 is an abundant number, since it is smaller than the sum of its proper divisors (180842830015974).

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

121884493771290 is a wasteful number, since it uses less digits than its factorization.

121884493771290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135796.

The product of its (nonzero) digits is 48771072, while the sum is 66.

The spelling of 121884493771290 in words is "one hundred twenty-one trillion, eight hundred eighty-four billion, four hundred ninety-three million, seven hundred seventy-one thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 491 930 982 1473 2003 2455 2946 4006 4910 6009 7365 10015 12018 14730 15221 20030 30045 30442 45663 60090 62093 76105 91326 124186 133261 152210 186279 228315 266522 310465 372558 399783 456630 620930 666305 799566 931395 983473 1332610 1862790 1966946 1998915 2950419 3997830 4131091 4917365 5900838 8262182 9834730 12393273 14752095 20655455 24786546 29504190 30487663 41310910 60975326 61966365 65431151 91462989 123932730 130862302 152438315 182925978 196293453 266921783 304876630 327155755 392586906 457314945 533843566 654311510 800765349 914629890 981467265 1334608915 1601530698 1962934530 2028365681 2669217830 4003826745 4056731362 6085097043 8007653490 8274575273 10141828405 12170194086 16549150546 20283656810 24823725819 30425485215 41372876365 49647451638 60850970430 82745752730 124118629095 131058595453 248237258190 262117190906 393175786359 655292977265 786351572718 1310585954530 1965878931795 3931757863590 4062816459043 8125632918086 12188449377129 20314082295215 24376898754258 40628164590430 60942246885645 121884493771290