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122011012222020 = 22325677838956789
BaseRepresentation
bin11011101111011111100111…
…000010101100110001000100
3121000000010202020001201121100
4123233133213002230301010
5111443012023112101040
61111255030224020100
734462001424060615
oct3357374702546104
9530003666051540
10122011012222020
1135970641640429
1211826675161630
1353107872a773c
14221b516291c0c
15e18bbe2d8b30
hex6ef7e70acc44

122011012222020 has 36 divisors (see below), whose sum is σ = 370100070407340. Its totient is φ = 32536269925824.

The previous prime is 122011012221991. The next prime is 122011012222087. The reversal of 122011012222020 is 20222210110221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15679319122944 + 106331693099076 = 3959712^2 + 10311726^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122011012221984 and 122011012222002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 338919478215 + ... + 338919478574.

It is an arithmetic number, because the mean of its divisors is an integer number (10280557511315).

Almost surely, 2122011012222020 is an apocalyptic number.

122011012222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122011012222020 is an abundant number, since it is smaller than the sum of its proper divisors (248089058185320).

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

122011012222020 is a wasteful number, since it uses less digits than its factorization.

122011012222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677838956804 (or 677838956799 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122011012222020 its reverse (20222210110221), we get a palindrome (142233222332241).

The spelling of 122011012222020 in words is "one hundred twenty-two trillion, eleven billion, twelve million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 677838956789 1355677913578 2033516870367 2711355827156 3389194783945 4067033740734 6100550611101 6778389567890 8134067481468 10167584351835 12201101222202 13556779135780 20335168703670 24402202444404 30502753055505 40670337407340 61005506111010 122011012222020