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122203113220000 = 255421317286633
BaseRepresentation
bin11011110010010010100001…
…001001110110011110100000
3121000200111121001222112101101
4123302102201021312132200
5112004133433441020000
61111523200223044144
734511612031444331
oct3362224111663640
9530614531875341
10122203113220000
1135a3505a64748a
1211857947440654
13532591cc86607
14222693b27a288
15e1dbb4062e6a
hex6f24a12767a0

122203113220000 has 120 divisors (see below), whose sum is σ = 300653141101236. Its totient is φ = 48878781696000.

The previous prime is 122203113219991. The next prime is 122203113220033. The reversal of 122203113220000 is 22311302221.

It can be written as a sum of positive squares in 10 ways, for example, as 3404187361936 + 118798925858064 = 1845044^2 + 10899492^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 122203113220000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 426196684 + ... + 426483316.

Almost surely, 2122203113220000 is an apocalyptic number.

122203113220000 is a gapful number since it is divisible by the number (10) 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 122203113220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150326570550618).

122203113220000 is an abundant number, since it is smaller than the sum of its proper divisors (178450027881236).

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

122203113220000 is an equidigital number, since it uses as much as digits as its factorization.

122203113220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307980 (or 307957 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 122203113220000 its reverse (22311302221), we get a palindrome (122225424522221).

The spelling of 122203113220000 in words is "one hundred twenty-two trillion, two hundred three billion, one hundred thirteen million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 21317 42634 85268 106585 170536 213170 286633 341072 426340 532925 573266 682144 852680 1065850 1146532 1433165 1705360 2131700 2293064 2664625 2866330 3410720 4263400 4586128 5329250 5732660 7165825 8526800 9172256 10658500 11465320 13323125 14331650 17053600 21317000 22930640 26646250 28663300 35829125 42634000 45861280 53292500 57326600 71658250 85268000 106585000 114653200 143316500 179145625 213170000 229306400 286633000 358291250 426340000 573266000 716582500 1146532000 1433165000 2866330000 5732660000 6110155661 12220311322 24440622644 30550778305 48881245288 61101556610 97762490576 122203113220 152753891525 195524981152 244406226440 305507783050 488812452880 611015566100 763769457625 977624905760 1222031132200 1527538915250 2444062264400 3055077830500 3818847288125 4888124528800 6110155661000 7637694576250 12220311322000 15275389152500 24440622644000 30550778305000 61101556610000 122203113220000