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122430134311120 = 2454335590155323
BaseRepresentation
bin11011110101100101111100…
…101010100101100011010000
3121001111012120120012212111101
4123311211330222211203100
5112021343403340423440
61112215343252554144
734534166601046546
oct3365457452454320
9531435516185441
10122430134311120
1136012368087349
1211893944322954
13534115c45c2ac
142233915ccdd96
15e24a4e83669a
hex6f597caa58d0

122430134311120 has 40 divisors (see below), whose sum is σ = 291269831171616. Its totient is φ = 47833168752768.

The previous prime is 122430134311117. The next prime is 122430134311123. The reversal of 122430134311120 is 21113431034221.

It is an interprime number because it is at equal distance from previous prime (122430134311117) and next prime (122430134311123).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122430134311123) 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, 17795074222 + ... + 17795081101.

Almost surely, 2122430134311120 is an apocalyptic number.

122430134311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122430134311120 is an abundant number, since it is smaller than the sum of its proper divisors (168839696860496).

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

122430134311120 is a wasteful number, since it uses less digits than its factorization.

122430134311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35590155379 (or 35590155373 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 122430134311120 its reverse (21113431034221), we get a palindrome (143543565345341).

The spelling of 122430134311120 in words is "one hundred twenty-two trillion, four hundred thirty billion, one hundred thirty-four million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 35590155323 71180310646 142360621292 177950776615 284721242584 355901553230 569442485168 711803106460 1423606212920 1530376678889 2847212425840 3060753357778 6121506715556 7651883394445 12243013431112 15303766788890 24486026862224 30607533577780 61215067155560 122430134311120