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122100210011020 = 22597143243439381
BaseRepresentation
bin11011110000110010101011…
…101001010000101110001100
3121000022122222120102220010011
4123300302223221100232030
5112000442212230323040
61111404021230123004
734501310012551603
oct3360625351205614
9530278876386104
10122100210011020
11359a545445051a
121183ba09350464
135319000b51647
14222197880aa3a
15e1b1900033ea
hex6f0caba50b8c

122100210011020 has 48 divisors (see below), whose sum is σ = 259056245716128. Its totient is φ = 48336130529280.

The previous prime is 122100210010993. The next prime is 122100210011023. The reversal of 122100210011020 is 20110012001221.

It is a super-2 number, since 2×1221002100110202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122100210011023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277671730 + ... + 278111110.

It is an arithmetic number, because the mean of its divisors is an integer number (5397005119086).

Almost surely, 2122100210011020 is an apocalyptic number.

122100210011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100210011020 is an abundant number, since it is smaller than the sum of its proper divisors (136956035705108).

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

122100210011020 is a wasteful number, since it uses less digits than its factorization.

122100210011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582730 (or 582728 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122100210011020 its reverse (20110012001221), we get a palindrome (142210222012241).

The spelling of 122100210011020 in words is "one hundred twenty-two trillion, one hundred billion, two hundred ten million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 143243 286486 439381 572972 716215 878762 1432430 1757524 2196905 2864860 4393810 8787620 13894571 27789142 42619957 55578284 69472855 85239914 138945710 170479828 213099785 277891420 426199570 852399140 62938252583 125876505166 251753010332 314691262915 629382525830 1258765051660 6105010500551 12210021001102 24420042002204 30525052502755 61050105005510 122100210011020