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121221020202020 = 2252910717311290679
BaseRepresentation
bin11011100011111111110111…
…110110010011010000100100
3120220012121122022201001020122
4123203333313312103100210
5111342041122132431040
61105452100133221112
734350633612515054
oct3343776766232044
9526177568631218
10121221020202020
1135696600751192
1211719542491798
13528412988082b
1421d11b3169564
15e0338492e1b5
hex6e3ff7d93424

121221020202020 has 96 divisors (see below), whose sum is σ = 267339817785600. Its totient is φ = 46110767650304.

The previous prime is 121221020202019. The next prime is 121221020202047. The reversal of 121221020202020 is 20202020122121.

It is a happy number.

It is a super-2 number, since 2×1212210202020202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121221020202020.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5091041 + ... + 16381719.

It is an arithmetic number, because the mean of its divisors is an integer number (2784789768600).

Almost surely, 2121221020202020 is an apocalyptic number.

121221020202020 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 121221020202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133669908892800).

121221020202020 is an abundant number, since it is smaller than the sum of its proper divisors (146118797583580).

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

121221020202020 is a wasteful number, since it uses less digits than its factorization.

121221020202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11290997 (or 11290995 counting only the distinct ones).

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

Adding to 121221020202020 its reverse (20202020122121), we get a palindrome (141423040324141).

The spelling of 121221020202020 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, twenty million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 107 116 145 173 214 290 346 428 535 580 692 865 1070 1730 2140 3103 3460 5017 6206 10034 12412 15515 18511 20068 25085 31030 37022 50170 62060 74044 92555 100340 185110 370220 536819 1073638 2147276 2684095 5368190 10736380 11290679 22581358 45162716 56453395 112906790 225813580 327429691 654859382 1208102653 1309718764 1637148455 1953287467 2416205306 3274296910 3906574934 4832410612 6040513265 6548593820 7813149868 9766437335 12081026530 19532874670 24162053060 35034976937 39065749340 56645336543 70069953874 113290673086 140139907748 175174884685 209001758969 226581346172 283226682715 350349769370 418003517938 566453365430 700699538740 836007035876 1045008794845 1132906730860 2090017589690 4180035179380 6061051010101 12122102020202 24244204040404 30305255050505 60610510101010 121221020202020