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122315112341040 = 2435509646301421
BaseRepresentation
bin11011110011111010110100…
…110100100101111000110000
3121001002012200111002101021110
4123303322310310211320300
5112013002322224403130
61112050441544553320
734522655336326113
oct3363726464457060
9531065614071243
10122315112341040
1135a78603193843
12118755a3782840
13533335b6b0778
14222c123b6a57a
15e21a6b8e7ab0
hex6f3eb4d25e30

122315112341040 has 40 divisors (see below), whose sum is σ = 379176848257968. Its totient is φ = 32617363290880.

The previous prime is 122315112340987. The next prime is 122315112341047. The reversal of 122315112341040 is 40143211513221.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 122315112340989 and 122315112341007.

It is not an unprimeable number, because it can be changed into a prime (122315112341047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254823150471 + ... + 254823150950.

Almost surely, 2122315112341040 is an apocalyptic number.

122315112341040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122315112341040 is an abundant number, since it is smaller than the sum of its proper divisors (256861735916928).

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

122315112341040 is a wasteful number, since it uses less digits than its factorization.

122315112341040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509646301437 (or 509646301431 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 122315112341040 its reverse (40143211513221), we get a palindrome (162458323854261).

The spelling of 122315112341040 in words is "one hundred twenty-two trillion, three hundred fifteen billion, one hundred twelve million, three hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 509646301421 1019292602842 1528938904263 2038585205684 2548231507105 3057877808526 4077170411368 5096463014210 6115755617052 7644694521315 8154340822736 10192926028420 12231511234104 15289389042630 20385852056840 24463022468208 30578778085260 40771704113680 61157556170520 122315112341040