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122430232032 = 25367107177893
BaseRepresentation
bin111001000000101101…
…0010001010111100000
3102201000101002012010020
41302001122101113200
54001214114411112
6132124344433440
711562635541663
oct1620132212740
9381011065106
10122430232032
1147a16746449
121b889778880
13b7118297a4
145cd5dd56da
1532b84ee48c
hex1c816915e0

122430232032 has 96 divisors (see below), whose sum is σ = 329226291072. Its totient is φ = 39825037824.

The previous prime is 122430232021. The next prime is 122430232039. The reversal of 122430232032 is 230232034221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 122430231993 and 122430232011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122430232039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599278 + ... + 777170.

It is an arithmetic number, because the mean of its divisors is an integer number (3429440532).

Almost surely, 2122430232032 is an apocalyptic number.

122430232032 is a gapful number since it is divisible by the number (12) 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 122430232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164613145536).

122430232032 is an abundant number, since it is smaller than the sum of its proper divisors (206796059040).

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

122430232032 is a wasteful number, since it uses less digits than its factorization.

122430232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178080 (or 178072 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 122430232032 its reverse (230232034221), we get a palindrome (352662266253).

The spelling of 122430232032 in words is "one hundred twenty-two billion, four hundred thirty million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 107 134 201 214 268 321 402 428 536 642 804 856 1072 1284 1608 1712 2144 2568 3216 3424 5136 6432 7169 10272 14338 21507 28676 43014 57352 86028 114704 172056 177893 229408 344112 355786 533679 688224 711572 1067358 1423144 2134716 2846288 4269432 5692576 8538864 11918831 17077728 19034551 23837662 35756493 38069102 47675324 57103653 71512986 76138204 95350648 114207306 143025972 152276408 190701296 228414612 286051944 304552816 381402592 456829224 572103888 609105632 913658448 1144207776 1275314917 1827316896 2550629834 3825944751 5101259668 7651889502 10202519336 15303779004 20405038672 30607558008 40810077344 61215116016 122430232032