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121121014420 = 22574777323813
BaseRepresentation
bin111000011001101100…
…0000000001010010100
3102120122010120001012001
41300303120000022110
53441023434430140
6131350415405044
711515330431010
oct1606330001224
9376563501161
10121121014420
114740472291a
121b583223784
13b563515103
145c10195540
15323d5dce9a
hex1c33600294

121121014420 has 96 divisors (see below), whose sum is σ = 297271876608. Its totient is φ = 40589363712.

The previous prime is 121121014331. The next prime is 121121014429. The reversal of 121121014420 is 24410121121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121121014429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5074434 + ... + 5098246.

It is an arithmetic number, because the mean of its divisors is an integer number (3096582048).

Almost surely, 2121121014420 is an apocalyptic number.

121121014420 is a gapful number since it is divisible by the number (10) 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 121121014420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148635938304).

121121014420 is an abundant number, since it is smaller than the sum of its proper divisors (176150862188).

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

121121014420 is a wasteful number, since it uses less digits than its factorization.

121121014420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24649 (or 24647 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 121121014420 its reverse (24410121121), we get a palindrome (145531135541).

The spelling of 121121014420 in words is "one hundred twenty-one billion, one hundred twenty-one million, fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 773 940 1316 1546 1645 3092 3290 3865 5411 6580 7730 10822 15460 21644 23813 27055 36331 47626 54110 72662 95252 108220 119065 145324 166691 181655 238130 254317 333382 363310 476260 508634 666764 726620 833455 1017268 1119211 1271585 1666910 2238422 2543170 3333820 4476844 5086340 5596055 7834477 11192110 15668954 18407449 22384220 31337908 36814898 39172385 73629796 78344770 92037245 128852143 156689540 184074490 257704286 368148980 515408572 644260715 865150103 1288521430 1730300206 2577042860 3460600412 4325750515 6056050721 8651501030 12112101442 17303002060 24224202884 30280253605 60560507210 121121014420