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121413020432 = 2411271987223
BaseRepresentation
bin111000100010011000…
…1111010101100010000
3102121101111000111010112
41301010301322230100
53442123213123212
6131435410220452
711525504434334
oct1610461725420
9377344014115
10121413020432
1147544537300
121b644b84728
13b5abb74432
145c3ac877c4
15325906d422
hex1c44c7ab10

121413020432 has 60 divisors (see below), whose sum is σ = 258929677440. Its totient is φ = 55110348480.

The previous prime is 121413020429. The next prime is 121413020437. The reversal of 121413020432 is 234020314121.

It is a super-2 number, since 2×1214130204322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121413020398 and 121413020407.

It is not an unprimeable number, because it can be changed into a prime (121413020437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1348373 + ... + 1435595.

It is an arithmetic number, because the mean of its divisors is an integer number (4315494624).

Almost surely, 2121413020432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121413020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129464838720).

121413020432 is an abundant number, since it is smaller than the sum of its proper divisors (137516657008).

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

121413020432 is a wasteful number, since it uses less digits than its factorization.

121413020432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87972 (or 87955 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 121413020432 its reverse (234020314121), we get a palindrome (355433334553).

The spelling of 121413020432 in words is "one hundred twenty-one billion, four hundred thirteen million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 719 968 1438 1936 2876 5752 7909 11504 15818 31636 63272 86999 87223 126544 173998 174446 347996 348892 695992 697784 959453 1391984 1395568 1918906 3837812 7675624 10553983 15351248 21107966 42215932 62713337 84431864 125426674 168863728 250853348 501706696 689846707 1003413392 1379693414 2759386828 5518773656 7588313777 11037547312 15176627554 30353255108 60706510216 121413020432