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12197962259968 = 29232331359379
BaseRepresentation
bin1011000110000000111100…
…1101010001111000000000
31121012010001221222212110211
42301200033031101320000
53044322411314304333
641535355544203504
72366162606321332
oct261401715217000
947163057885424
1012197962259968
113983143771831
121450068a69594
136a63557ac714
143025551bd452
1516246c529ecd
hexb180f351e00

12197962259968 has 240 divisors, whose sum is σ = 25693599254400. Its totient is φ = 5784678789120.

The previous prime is 12197962259929. The next prime is 12197962259981. The reversal of 12197962259968 is 86995226979121.

It is a super-2 number, since 2×121979622599682 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12197962259894 and 12197962259903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32184596803 + ... + 32184597181.

It is an arithmetic number, because the mean of its divisors is an integer number (107056663560).

Almost surely, 212197962259968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12197962259968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12846799627200).

12197962259968 is an abundant number, since it is smaller than the sum of its proper divisors (13495636994432).

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

12197962259968 is an equidigital number, since it uses as much as digits as its factorization.

12197962259968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1094 counting only the distinct ones).

The product of its digits is 529079040, while the sum is 76.

The spelling of 12197962259968 in words is "twelve trillion, one hundred ninety-seven billion, nine hundred sixty-two million, two hundred fifty-nine thousand, nine hundred sixty-eight".