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1201246688196 = 223237249372
BaseRepresentation
bin10001011110101111111…
…000011101001111000100
311020211121221120102200100
4101132233320131033010
5124140123123010241
62315502313244100
7152534004243342
oct21365770351704
94224557512610
101201246688196
1142349a491415
12174987103630
138937a978029
14421d7d2c992
15213a93999b6
hex117afe1d3c4

1201246688196 has 81 divisors (see below), whose sum is σ = 3121402115559. Its totient is φ = 389514607488.

The previous prime is 1201246688153. The next prime is 1201246688207. The reversal of 1201246688196 is 6918866421021.

The square root of 1201246688196 is 1096014.

It is a perfect power (a square), and thus also a powerful number.

1201246688196 is a `hidden beast` number, since 1 + 2 + 0 + 12 + 466 + 8 + 81 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 173294033796 + 1027952654400 = 416286^2 + 1013880^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 243312640 + ... + 243317576.

Almost surely, 21201246688196 is an apocalyptic number.

1201246688196 is the 1096014-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201246688196

1201246688196 is an abundant number, since it is smaller than the sum of its proper divisors (1920155427363).

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

1201246688196 is an frugal number, since it uses more digits than its factorization.

1201246688196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9958 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 1201246688196 in words is "one trillion, two hundred one billion, two hundred forty-six million, six hundred eighty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1369 2738 4107 4937 5476 8214 9874 12321 14811 16428 19748 24642 29622 44433 49284 59244 88866 177732 182669 365338 548007 730676 1096014 1644021 2192028 3288042 6576084 6758753 13517506 20276259 24373969 27035012 40552518 48747938 60828777 73121907 81105036 97495876 121657554 146243814 219365721 243315108 292487628 438731442 877462884 901836853 1803673706 2705510559 3607347412 5411021118 8116531677 10822042236 16233063354 32466126708 33367963561 66735927122 100103890683 133471854244 200207781366 300311672049 400415562732 600623344098 1201246688196