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122150651056 = 24723269917569
BaseRepresentation
bin111000111000010111…
…1110000010010110000
3102200021220000000010021
41301300233300102300
54000131031313211
6132040520213224
711553002255050
oct1616057602260
9380256000107
10122150651056
1147892949095
121b81000a214
13b69892aa65
145caac19560
15329dbc5771
hex1c70bf04b0

122150651056 has 80 divisors (see below), whose sum is σ = 282356928000. Its totient is φ = 50052777984.

The previous prime is 122150650991. The next prime is 122150651057. The reversal of 122150651056 is 650156051221.

It is not an unprimeable number, because it can be changed into a prime (122150651057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6943840 + ... + 6961408.

It is an arithmetic number, because the mean of its divisors is an integer number (3529461600).

Almost surely, 2122150651056 is an apocalyptic number.

122150651056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122150651056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141178464000).

122150651056 is an abundant number, since it is smaller than the sum of its proper divisors (160206276944).

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

122150651056 is a wasteful number, since it uses less digits than its factorization.

122150651056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20306 (or 20300 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

The spelling of 122150651056 in words is "one hundred twenty-two billion, one hundred fifty million, six hundred fifty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 2576 2699 5398 10796 17569 18893 21592 35138 37786 43184 62077 70276 75572 122983 124154 140552 151144 245966 248308 281104 302288 404087 434539 491932 496616 808174 869078 983864 993232 1616348 1738156 1967728 2828609 3232696 3476312 5657218 6465392 6952624 11314436 22628872 45257744 47418731 94837462 189674924 331931117 379349848 663862234 758699696 1090630813 1327724468 2181261626 2655448936 4362523252 5310897872 7634415691 8725046504 15268831382 17450093008 30537662764 61075325528 122150651056