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121445601495696 = 24329183532
BaseRepresentation
bin11011100111010001000001…
…111011111100101010010000
3120221000002022210000211110100
4123213101001323330222100
5111404231042440330241
61110143201125532400
734403104135151232
oct3347210173745220
9527002283024410
10121445601495696
1135772876a67125
1211754b7a274100
13529c36a74529a
1421dbdd9b60252
15e0912ae199b6
hex6e7441efca90

121445601495696 has 45 divisors (see below), whose sum is σ = 339879379838089. Its totient is φ = 40481823084288.

The previous prime is 121445601495641. The next prime is 121445601495703. The reversal of 121445601495696 is 696594106544121.

The square root of 121445601495696 is 11020236.

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

121445601495696 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 4 + 5 + 60 + 1 + 4 + 9 + 569 + 6 = 666.

121445601495696 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 96564819027600 + 24880782468096 = 9826740^2 + 4988064^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 131783656 + ... + 132702008.

Almost surely, 2121445601495696 is an apocalyptic number.

121445601495696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

121445601495696 is the 11020236-th square number.

It is an amenable number.

121445601495696 is an abundant number, since it is smaller than the sum of its proper divisors (218433778342393).

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

121445601495696 is an frugal number, since it uses more digits than its factorization.

121445601495696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836720 (or 918358 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 121445601495696 in words is "one hundred twenty-one trillion, four hundred forty-five billion, six hundred one million, four hundred ninety-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 918353 1836706 2755059 3673412 5510118 7346824 8265177 11020236 14693648 16530354 22040472 33060708 44080944 66121416 132242832 843372232609 1686744465218 2530116697827 3373488930436 5060233395654 6746977860872 7590350093481 10120466791308 13493955721744 15180700186962 20240933582616 30361400373924 40481867165232 60722800747848 121445601495696