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121123661406354 = 232371452531252073
BaseRepresentation
bin11011100010100101001100…
…110011111110000010010010
3120212212022100012221210012200
4123202211030303332002102
5111333442224310000404
61105335235240304030
734340616146432535
oct3342451463760222
9525768305853180
10121123661406354
11356592901a3a92
12117026b1172016
135277bb230cab9
1421ca5b8bd4a1c
15e00a87513839
hex6e294ccfe092

121123661406354 has 48 divisors (see below), whose sum is σ = 269529497571672. Its totient is φ = 39283047823104.

The previous prime is 121123661406299. The next prime is 121123661406361. The reversal of 121123661406354 is 453604166321121.

121123661406354 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 2 + 3 + 6 + 6 + 1 + 4 + 0 + 635 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 107885510372025 + 13238151034329 = 10386795^2 + 3638427^2 .

It is a super-2 number, since 2×1211236614063542 (a number of 29 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 96112462 + ... + 97364534.

Almost surely, 2121123661406354 is an apocalyptic number.

121123661406354 is an abundant number, since it is smaller than the sum of its proper divisors (148405836165318).

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

121123661406354 is a wasteful number, since it uses less digits than its factorization.

121123661406354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397371 (or 1397368 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 121123661406354 in words is "one hundred twenty-one trillion, one hundred twenty-three billion, six hundred sixty-one million, four hundred six thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 145253 290506 435759 871518 1252073 1307277 2504146 2614554 3756219 5374361 7512438 10748722 11268657 16123083 22537314 32246166 46326701 48369249 92653402 96738498 138980103 277960206 416940309 833880618 181867359469 363734718938 545602078407 1091204156814 1636806235221 3273612470442 6729092300353 13458184600706 20187276901059 40374553802118 60561830703177 121123661406354