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121872852240 = 24351972577683
BaseRepresentation
bin111000110000000110…
…0000010010100010000
3102122120112021100210020
41301200030002110100
53444043422232430
6131553154103440
711543060103006
oct1614014022420
9378515240706
10121872852240
1147760058797
121b752b7ab80
13b653204269
145c81d84a76
1532845eeb10
hex1c60302510

121872852240 has 80 divisors (see below), whose sum is σ = 379723785408. Its totient is φ = 32334443008.

The previous prime is 121872852239. The next prime is 121872852347. The reversal of 121872852240 is 42258278121.

It is a happy number.

121872852240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1218728522402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121872852192 and 121872852201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1241562 + ... + 1336121.

Almost surely, 2121872852240 is an apocalyptic number.

121872852240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121872852240 is an abundant number, since it is smaller than the sum of its proper divisors (257850933168).

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

121872852240 is a wasteful number, since it uses less digits than its factorization.

121872852240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577896 (or 2577890 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The spelling of 121872852240 in words is "one hundred twenty-one billion, eight hundred seventy-two million, eight hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 197 240 394 591 788 985 1182 1576 1970 2364 2955 3152 3940 4728 5910 7880 9456 11820 15760 23640 47280 2577683 5155366 7733049 10310732 12888415 15466098 20621464 25776830 30932196 38665245 41242928 51553660 61864392 77330490 103107320 123728784 154660980 206214640 309321960 507803551 618643920 1015607102 1523410653 2031214204 2539017755 3046821306 4062428408 5078035510 6093642612 7617053265 8124856816 10156071020 12187285224 15234106530 20312142040 24374570448 30468213060 40624284080 60936426120 121872852240