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121055435040 = 25352351107273
BaseRepresentation
bin111000010111101110…
…1110101100100100000
3102120110120011021012010
41300233131311210200
53440410142410130
6131340114032520
711513603135331
oct1605735654440
9376416137163
10121055435040
1147380701091
121b565278740
13b552a63747
145c055a4288
1532379870b0
hex1c2f775920

121055435040 has 96 divisors (see below), whose sum is σ = 381490373376. Its totient is φ = 32267417600.

The previous prime is 121055435029. The next prime is 121055435047. The reversal of 121055435040 is 40534550121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 121055434989 and 121055435007.

It is not an unprimeable number, because it can be changed into a prime (121055435047) 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, 1074844 + ... + 1182116.

It is an arithmetic number, because the mean of its divisors is an integer number (3973858056).

Almost surely, 2121055435040 is an apocalyptic number.

121055435040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121055435040 is an abundant number, since it is smaller than the sum of its proper divisors (260434938336).

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

121055435040 is a wasteful number, since it uses less digits than its factorization.

121055435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109642 (or 109634 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 121055435040 its reverse (40534550121), we get a palindrome (161589985161).

The spelling of 121055435040 in words is "one hundred twenty-one billion, fifty-five million, four hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2351 4702 7053 9404 11755 14106 18808 23510 28212 35265 37616 47020 56424 70530 75232 94040 107273 112848 141060 188080 214546 225696 282120 321819 376160 429092 536365 564240 643638 858184 1072730 1128480 1287276 1609095 1716368 2145460 2574552 3218190 3432736 4290920 5149104 6436380 8581840 10298208 12872760 17163680 25745520 51491040 252198823 504397646 756596469 1008795292 1260994115 1513192938 2017590584 2521988230 3026385876 3782982345 4035181168 5043976460 6052771752 7565964690 8070362336 10087952920 12105543504 15131929380 20175905840 24211087008 30263858760 40351811680 60527717520 121055435040