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121302401040032 = 2517224115440319
BaseRepresentation
bin11011100101001011101010…
…100001100011111010100000
3120220111101200220002221220012
4123211023222201203322200
5111344404304131240112
61105553315335104052
734356544402313342
oct3345135241437240
9526441626087805
10121302401040032
1135718072049303
1211731274812028
13528b9c8ab5254
1421d50d3469292
15e0554925a022
hex6e52ea863ea0

121302401040032 has 72 divisors (see below), whose sum is σ = 253793604637440. Its totient is φ = 57059796085760.

The previous prime is 121302401039933. The next prime is 121302401040091. The reversal of 121302401040032 is 230040104203121.

It is a super-2 number, since 2×1213024010400322 (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 11 ways as a sum of consecutive naturals, for example, 19576769 + ... + 25017087.

It is an arithmetic number, because the mean of its divisors is an integer number (3524911175520).

Almost surely, 2121302401040032 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 121302401040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126896802318720).

121302401040032 is an abundant number, since it is smaller than the sum of its proper divisors (132491203597408).

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

121302401040032 is a wasteful number, since it uses less digits than its factorization.

121302401040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5442774 (or 5442749 counting only the distinct ones).

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

Adding to 121302401040032 its reverse (230040104203121), we get a palindrome (351342505243153).

The spelling of 121302401040032 in words is "one hundred twenty-one trillion, three hundred two billion, four hundred one million, forty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 578 1156 2312 2411 4624 4822 9248 9644 19288 38576 40987 77152 81974 163948 327896 655792 696779 1311584 1393558 2787116 5440319 5574232 10880638 11148464 21761276 22296928 43522552 87045104 92485423 174090208 184970846 369941692 739883384 1479766768 1572252191 2959533536 3144504382 6289008764 12578017528 13116609109 25156035056 26233218218 50312070112 52466436436 104932872872 209865745744 222982354853 419731491488 445964709706 891929419412 1783858838824 3567717677648 3790700032501 7135435355296 7581400065002 15162800130004 30325600260008 60651200520016 121302401040032