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122023213003332 = 22324013844638349
BaseRepresentation
bin11011101111101010111110…
…010000111111001001000100
3121000001022020111222122010200
4123233222332100333021010
5111443212020012101312
61111304405025050500
734462612654024614
oct3357527620771104
9530038214878120
10122023213003332
1135975832668a73
1211828abb186a30
13531197cc0b074
14221bd52816a44
15e191854ba0dc
hex6efabe43f244

122023213003332 has 36 divisors (see below), whose sum is σ = 308524428657900. Its totient is φ = 40664268626112.

The previous prime is 122023213003297. The next prime is 122023213003361. The reversal of 122023213003332 is 233300312320221.

122023213003332 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 2 + 3 + 21 + 300 + 3 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113029727823936 + 8993485179396 = 10631544^2 + 2998914^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 122023213003296 and 122023213003305.

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, 422174707 + ... + 422463642.

It is an arithmetic number, because the mean of its divisors is an integer number (8570123018275).

Almost surely, 2122023213003332 is an apocalyptic number.

122023213003332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122023213003332 is an abundant number, since it is smaller than the sum of its proper divisors (186501215654568).

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

122023213003332 is a wasteful number, since it uses less digits than its factorization.

122023213003332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844642372 (or 844642367 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 122023213003332 its reverse (233300312320221), we get a palindrome (355323525323553).

The spelling of 122023213003332 in words is "one hundred twenty-two trillion, twenty-three billion, two hundred thirteen million, three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 4013 8026 12039 16052 24078 36117 48156 72234 144468 844638349 1689276698 2533915047 3378553396 5067830094 7601745141 10135660188 15203490282 30406980564 3389533694537 6779067389074 10168601083611 13558134778148 20337202167222 30505803250833 40674404334444 61011606501666 122023213003332