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121213300000 = 25551393241
BaseRepresentation
bin111000011100011100…
…0000010110100100000
3102120212120012122012111
41300320320002310200
53441221101100000
6131403513405104
711520531023122
oct1607070026440
9376776178174
10121213300000
11474518253a1
121b5aa109794
13b579687470
145c1c539212
15324676bcba
hex1c38e02d20

121213300000 has 144 divisors (see below), whose sum is σ = 321227268264. Its totient is φ = 44755200000.

The previous prime is 121213299997. The next prime is 121213300009. The reversal of 121213300000 is 3312121.

It can be written as a sum of positive squares in 12 ways, for example, as 62158467856 + 59054832144 = 249316^2 + 243012^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (121213300009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1253380 + ... + 1346620.

Almost surely, 2121213300000 is an apocalyptic number.

121213300000 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 121213300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160613634132).

121213300000 is an abundant number, since it is smaller than the sum of its proper divisors (200013968264).

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

121213300000 is an frugal number, since it uses more digits than its factorization.

121213300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93289 (or 93261 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 121213300000 its reverse (3312121), we get a palindrome (121216612121).

The spelling of 121213300000 in words is "one hundred twenty-one billion, two hundred thirteen million, three hundred thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1625 2000 2080 2500 2600 3125 3250 4000 5000 5200 6250 6500 8125 10000 10400 12500 13000 16250 20000 25000 26000 32500 40625 50000 52000 65000 81250 93241 100000 130000 162500 186482 260000 325000 372964 466205 650000 745928 932410 1212133 1300000 1491856 1864820 2331025 2424266 2983712 3729640 4662050 4848532 6060665 7459280 9324100 9697064 11655125 12121330 14918560 18648200 19394128 23310250 24242660 30303325 37296400 38788256 46620500 48485320 58275625 60606650 74592800 93241000 96970640 116551250 121213300 151516625 186482000 193941280 233102500 242426600 291378125 303033250 372964000 466205000 484853200 582756250 606066500 757583125 932410000 969706400 1165512500 1212133000 1515166250 1864820000 2331025000 2424266000 3030332500 3787915625 4662050000 4848532000 6060665000 7575831250 9324100000 12121330000 15151662500 24242660000 30303325000 60606650000 121213300000