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121879904761 = 3147428319531
BaseRepresentation
bin111000110000010011…
…0111100000111111001
3102122121000112200000201
41301200212330013321
53444102223423021
6131554005202201
711543204045206
oct1614046740771
9378530480021
10121879904761
114776403541a
121b755400361
13b654803354
145c82c9ccad
153285044591
hex1c609bc1f9

121879904761 has 16 divisors (see below), whose sum is σ = 128524935168. Its totient is φ = 115405894800.

The previous prime is 121879904759. The next prime is 121879904779. The reversal of 121879904761 is 167409978121.

It is a happy number.

It is not a de Polignac number, because 121879904761 - 21 = 121879904759 is a prime.

It is a super-2 number, since 2×1218799047612 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121879904701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6230566 + ... + 6250096.

It is an arithmetic number, because the mean of its divisors is an integer number (8032808448).

Almost surely, 2121879904761 is an apocalyptic number.

It is an amenable number.

121879904761 is a deficient number, since it is larger than the sum of its proper divisors (6645030407).

121879904761 is a wasteful number, since it uses less digits than its factorization.

121879904761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23892.

The product of its (nonzero) digits is 1524096, while the sum is 55.

The spelling of 121879904761 in words is "one hundred twenty-one billion, eight hundred seventy-nine million, nine hundred four thousand, seven hundred sixty-one".

Divisors: 1 31 47 1457 4283 19531 132773 201301 605461 917957 6240331 28456667 83651273 2593189463 3931609831 121879904761