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122002012202120 = 2356153999261127
BaseRepresentation
bin11011101111010111001110…
…100110010110010010001000
3120222222021111222221100021222
4123233113032212112102020
5111442340110110431440
61111250541202221212
734461232411134551
oct3357271646262210
9528867458840258
10122002012202120
1135967843336256
1211824983054808
13530c98181b38b
14221ad00c73328
15e188441062b5
hex6ef5ce996488

122002012202120 has 64 divisors (see below), whose sum is σ = 279056308896000. Its totient is φ = 47991895822080.

The previous prime is 122002012202113. The next prime is 122002012202131. The reversal of 122002012202120 is 21202210200221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8542997 + ... + 17804123.

It is an arithmetic number, because the mean of its divisors is an integer number (4360254826500).

Almost surely, 2122002012202120 is an apocalyptic number.

122002012202120 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 122002012202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139528154448000).

122002012202120 is an abundant number, since it is smaller than the sum of its proper divisors (157054296693880).

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

122002012202120 is a wasteful number, since it uses less digits than its factorization.

122002012202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9266598 (or 9266594 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 122002012202120 its reverse (21202210200221), we get a palindrome (143204222402341).

The spelling of 122002012202120 in words is "one hundred twenty-two trillion, two billion, twelve million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 5399 10798 21596 26995 43192 53990 107980 215960 329339 658678 1317356 1646695 2634712 3293390 6586780 9261127 13173560 18522254 37044508 46305635 74089016 92611270 185222540 370445080 564928747 1129857494 2259714988 2824643735 4519429976 5649287470 11298574940 22597149880 50000824673 100001649346 200003298692 250004123365 400006597384 500008246730 1000016493460 2000032986920 3050050305053 6100100610106 12200201220212 15250251525265 24400402440424 30500503050530 61001006101060 122002012202120