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122212000000 = 285630553
BaseRepresentation
bin111000111010001100…
…1110010000100000000
3102200110011102212001101
41301310121302010000
54000242233000000
6132050551144144
711554345600666
oct1616431620400
9380404385041
10122212000000
11479145404a2
121b828675054
13b6a855a9cc
145cb5028c36
1532a4292e6a
hex1c74672100

122212000000 has 126 divisors (see below), whose sum is σ = 304939338914. Its totient is φ = 48883200000.

The previous prime is 122211999997. The next prime is 122212000003. The reversal of 122212000000 is 212221.

It is an interprime number because it is at equal distance from previous prime (122211999997) and next prime (122212000003).

It can be written as a sum of positive squares in 7 ways, for example, as 117325430784 + 4886569216 = 342528^2 + 69904^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (122212000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3984724 + ... + 4015276.

Almost surely, 2122212000000 is an apocalyptic number.

122212000000 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 122212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152469669457).

122212000000 is an abundant number, since it is smaller than the sum of its proper divisors (182727338914).

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

122212000000 is an frugal number, since it uses more digits than its factorization.

122212000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30599 (or 30560 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 122212000000 its reverse (212221), we get a palindrome (122212212221).

The spelling of 122212000000 in words is "one hundred twenty-two billion, two hundred twelve million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 30553 31250 32000 40000 50000 61106 62500 80000 100000 122212 125000 152765 160000 200000 244424 250000 305530 400000 488848 500000 611060 763825 800000 977696 1000000 1222120 1527650 1955392 2000000 2444240 3055300 3819125 3910784 4000000 4888480 6110600 7638250 7821568 9776960 12221200 15276500 19095625 19553920 24442400 30553000 38191250 39107840 48884800 61106000 76382500 95478125 97769600 122212000 152765000 190956250 195539200 244424000 305530000 381912500 477390625 488848000 611060000 763825000 954781250 977696000 1222120000 1527650000 1909562500 2444240000 3055300000 3819125000 4888480000 6110600000 7638250000 12221200000 15276500000 24442400000 30553000000 61106000000 122212000000