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122311211221020 = 22352388631312479
BaseRepresentation
bin11011110011110111001100…
…010011000000000000011100
3121001001211121121102221122210
4123303313030103000000130
5112012421330033033040
61112044554510240420
734522456556341263
oct3363671423000034
9531054547387583
10122311211221020
1135a769910a6608
12118748951b6110
135332b893ccb23
14222bc739d55da
15e218de1a5480
hex6f3dcc4c001c

122311211221020 has 48 divisors (see below), whose sum is σ = 357361451919360. Its totient is φ = 31198221992256.

The previous prime is 122311211221007. The next prime is 122311211221021. The reversal of 122311211221020 is 20122112113221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122311211221021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44315654860 + ... + 44315657619.

It is an arithmetic number, because the mean of its divisors is an integer number (7445030248320).

Almost surely, 2122311211221020 is an apocalyptic number.

122311211221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122311211221020 is an abundant number, since it is smaller than the sum of its proper divisors (235050240698340).

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

122311211221020 is a wasteful number, since it uses less digits than its factorization.

122311211221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88631312514 (or 88631312512 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 122311211221020 its reverse (20122112113221), we get a palindrome (142433323334241).

The spelling of 122311211221020 in words is "one hundred twenty-two trillion, three hundred eleven billion, two hundred eleven million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 88631312479 177262624958 265893937437 354525249916 443156562395 531787874874 886313124790 1063575749748 1329469687185 1772626249580 2038520187017 2658939374370 4077040374034 5317878748740 6115560561051 8154080748068 10192600935085 12231121122102 20385201870170 24462242244204 30577802805255 40770403740340 61155605610510 122311211221020