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122220556864 = 267974328001
BaseRepresentation
bin111000111010011101…
…0011011001001000000
3102200110202112120212021
41301310322123021000
54000301430304424
6132051454411224
711554511410060
oct1616472331100
9380422476767
10122220556864
114791935538a
121b82b500b14
13b6aa265743
145cb62153a0
1532a4dd34e4
hex1c74e9b240

122220556864 has 56 divisors (see below), whose sum is σ = 277217111808. Its totient is φ = 52372992000.

The previous prime is 122220556849. The next prime is 122220556867. The reversal of 122220556864 is 468655022221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 122220556864.

It is not an unprimeable number, because it can be changed into a prime (122220556867) 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 7 ways as a sum of consecutive naturals, for example, 4350864 + ... + 4378864.

It is an arithmetic number, because the mean of its divisors is an integer number (4950305568).

Almost surely, 2122220556864 is an apocalyptic number.

122220556864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122220556864 is an abundant number, since it is smaller than the sum of its proper divisors (154996554944).

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

122220556864 is an equidigital number, since it uses as much as digits as its factorization.

122220556864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37763 (or 37753 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 122220556864 in words is "one hundred twenty-two billion, two hundred twenty million, five hundred fifty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 9743 19486 28001 38972 56002 68201 77944 112004 136402 155888 196007 224008 272804 311776 392014 448016 545608 623552 784028 896032 1091216 1568056 1792064 2182432 3136112 4364864 6272224 12544448 272813743 545627486 1091254972 1909696201 2182509944 3819392402 4365019888 7638784804 8730039776 15277569608 17460079552 30555139216 61110278432 122220556864