Search a number
-
+
121961923196652 = 2232721118134725973
BaseRepresentation
bin11011101110110001111001…
…000110111011011011101100
3120222211110001010101212020200
4123232301321012323123230
5111441211004314243102
61111220311203513500
734455313103202600
oct3356617106733354
9528743033355220
10121961923196652
1135951841116080
1211819055388890
135308c631a4776
142218dba937500
15e177998dc51c
hex6eec791bb6ec

121961923196652 has 216 divisors, whose sum is σ = 393390001669392. Its totient is φ = 31503401798400.

The previous prime is 121961923196651. The next prime is 121961923196671. The reversal of 121961923196652 is 256691329169121.

121961923196652 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 619 + 2 + 3 + 1 + 9 + 6 + 6 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 121961923196652.

It is not an unprimeable number, because it can be changed into a prime (121961923196651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13850863 + ... + 20875110.

Almost surely, 2121961923196652 is an apocalyptic number.

121961923196652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121961923196652 is an abundant number, since it is smaller than the sum of its proper divisors (271428078472740).

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

121961923196652 is a wasteful number, since it uses less digits than its factorization.

121961923196652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34726189 (or 34726177 counting only the distinct ones).

The product of its digits is 18895680, while the sum is 63.

The spelling of 121961923196652 in words is "one hundred twenty-one trillion, nine hundred sixty-one billion, nine hundred twenty-three million, one hundred ninety-six thousand, six hundred fifty-two".