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122201213233032 = 23321697239072681
BaseRepresentation
bin11011110010010000101111…
…111001111110011110001000
3121000200022200122211012020200
4123302100233321332132020
5112004121041041424112
61111522243511452200
734511513661020613
oct3362205771763610
9530608618735220
10122201213233032
1135a3427510011a
12118574b7087060
1353256a945897b
1422267dabb717a
15e1db02358cdc
hex6f242fe7e788

122201213233032 has 24 divisors (see below), whose sum is σ = 330961619172990. Its totient is φ = 40733737744320.

The previous prime is 122201213233019. The next prime is 122201213233037. The reversal of 122201213233032 is 230332312102221.

122201213233032 is a `hidden beast` number, since 1 + 2 + 2 + 20 + 12 + 1 + 323 + 303 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88442626507236 + 33758586725796 = 9404394^2 + 5810214^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 122201213232987 and 122201213233005.

It is not an unprimeable number, because it can be changed into a prime (122201213233037) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 848619536269 + ... + 848619536412.

Almost surely, 2122201213233032 is an apocalyptic number.

122201213233032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122201213233032 is an abundant number, since it is smaller than the sum of its proper divisors (208760405939958).

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

122201213233032 is a wasteful number, since it uses less digits than its factorization.

122201213233032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697239072693 (or 1697239072686 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 122201213233032 its reverse (230332312102221), we get a palindrome (352533525335253).

The spelling of 122201213233032 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred thirteen million, two hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1697239072681 3394478145362 5091717218043 6788956290724 10183434436086 13577912581448 15275151654129 20366868872172 30550303308258 40733737744344 61100606616516 122201213233032