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121312346040 = 23325336978739
BaseRepresentation
bin111000011111011000…
…1110111111110111000
3102121010110120200211100
41300332301313332320
53441421430033130
6131421412331400
711523142633104
oct1607661677670
9377113520740
10121312346040
11474a2725126
121b617313b60
13b5940559a2
145c2b75c904
1532502d3c60
hex1c3ec77fb8

121312346040 has 48 divisors (see below), whose sum is σ = 394265125800. Its totient is φ = 32349958848.

The previous prime is 121312346011. The next prime is 121312346041. The reversal of 121312346040 is 40643213121.

It is a happy number.

121312346040 is a `hidden beast` number, since 1 + 2 + 1 + 31 + 23 + 4 + 604 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 121312345995 and 121312346013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121312346041) 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, 168489010 + ... + 168489729.

Almost surely, 2121312346040 is an apocalyptic number.

121312346040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121312346040 is an abundant number, since it is smaller than the sum of its proper divisors (272952779760).

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

121312346040 is a wasteful number, since it uses less digits than its factorization.

121312346040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336978756 (or 336978749 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 121312346040 its reverse (40643213121), we get a palindrome (161955559161).

The spelling of 121312346040 in words is "one hundred twenty-one billion, three hundred twelve million, three hundred forty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 336978739 673957478 1010936217 1347914956 1684893695 2021872434 2695829912 3032808651 3369787390 4043744868 5054681085 6065617302 6739574780 8087489736 10109362170 12131234604 13479149560 15164043255 20218724340 24262469208 30328086510 40437448680 60656173020 121312346040