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12155051215032 = 23311157293260259
BaseRepresentation
bin1011000011100001000110…
…0000101000100010111000
31121001000022102021221001020
42300320101200220202320
53043122021102340112
641503541535422440
72363113333416135
oct260702140504270
947030272257036
1012155051215032
113966a23590630
121443892084a20
136a22a75c007b
1430044416358c
151612aa1c148c
hexb0e118288b8

12155051215032 has 64 divisors (see below), whose sum is σ = 33361287177600. Its totient is φ = 3659888019840.

The previous prime is 12155051215009. The next prime is 12155051215037. The reversal of 12155051215032 is 23051215055121.

It is a super-2 number, since 2×121550512150322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 12155051214984 and 12155051215002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12155051215037) 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, 146588682 + ... + 146671577.

It is an arithmetic number, because the mean of its divisors is an integer number (521270112150).

Almost surely, 212155051215032 is an apocalyptic number.

12155051215032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12155051215032 is an abundant number, since it is smaller than the sum of its proper divisors (21206235962568).

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

12155051215032 is a wasteful number, since it uses less digits than its factorization.

12155051215032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293260436 (or 293260432 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 33.

The spelling of 12155051215032 in words is "twelve trillion, one hundred fifty-five billion, fifty-one million, two hundred fifteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 157 264 314 471 628 942 1256 1727 1884 3454 3768 5181 6908 10362 13816 20724 41448 293260259 586520518 879780777 1173041036 1759561554 2346082072 3225862849 3519123108 6451725698 7038246216 9677588547 12903451396 19355177094 25806902792 38710354188 46041860663 77420708376 92083721326 138125581989 184167442652 276251163978 368334885304 506460467293 552502327956 1012920934586 1105004655912 1519381401879 2025841869172 3038762803758 4051683738344 6077525607516 12155051215032