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122111002020020 = 22513469657700077
BaseRepresentation
bin11011110000111100101110…
…111001100000100010110100
3121000100200211200111202100012
4123300330232321200202310
5112001131313004120040
61111413004144235352
734502141315245646
oct3360745671404264
9530320750452305
10122111002020020
11359a9a92238622
1211841b1b60bb58
13531a0309546a0
1422222bdc18896
15e1b5c26aa865
hex6f0f2ee608b4

122111002020020 has 24 divisors (see below), whose sum is σ = 276158727645864. Its totient is φ = 45087139207296.

The previous prime is 122111002019989. The next prime is 122111002020031. The reversal of 122111002020020 is 20020200111221.

It can be written as a sum of positive squares in 4 ways, for example, as 22734005284 + 122088268014736 = 150778^2 + 11049356^2 .

It is a super-2 number, since 2×1221110020200202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111002019977 and 122111002020004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234828849779 + ... + 234828850298.

It is an arithmetic number, because the mean of its divisors is an integer number (11506613651911).

Almost surely, 2122111002020020 is an apocalyptic number.

122111002020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111002020020 is an abundant number, since it is smaller than the sum of its proper divisors (154047725625844).

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

122111002020020 is a wasteful number, since it uses less digits than its factorization.

122111002020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469657700099 (or 469657700097 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122111002020020 its reverse (20020200111221), we get a palindrome (142131202131241).

The spelling of 122111002020020 in words is "one hundred twenty-two trillion, one hundred eleven billion, two million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 469657700077 939315400154 1878630800308 2348288500385 4696577000770 6105550101001 9393154001540 12211100202002 24422200404004 30527750505005 61055501010010 122111002020020