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122616061152 = 2531398250049
BaseRepresentation
bin111001000110001111…
…1001001110011100000
3102201111022202021202020
41302030133021303200
54002104202424102
6132155023421440
711600353215564
oct1621437116340
9381438667666
10122616061152
114800162a632
121b91ba54880
13b741191950
145d129696a4
1532c99a9bbc
hex1c8c7c9ce0

122616061152 has 48 divisors (see below), whose sum is σ = 346626176400. Its totient is φ = 37728018432.

The previous prime is 122616061151. The next prime is 122616061159. The reversal of 122616061152 is 251160616221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122616061151) 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, 49123777 + ... + 49126272.

It is an arithmetic number, because the mean of its divisors is an integer number (7221378675).

Almost surely, 2122616061152 is an apocalyptic number.

122616061152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122616061152 is an abundant number, since it is smaller than the sum of its proper divisors (224010115248).

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

122616061152 is a wasteful number, since it uses less digits than its factorization.

122616061152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98250075 (or 98250067 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

Adding to 122616061152 its reverse (251160616221), we get a palindrome (373776677373).

The spelling of 122616061152 in words is "one hundred twenty-two billion, six hundred sixteen million, sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 98250049 196500098 294750147 393000196 589500294 786000392 1179000588 1277250637 1572000784 2358001176 2554501274 3144001568 3831751911 4716002352 5109002548 7663503822 9432004704 10218005096 15327007644 20436010192 30654015288 40872020384 61308030576 122616061152