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122210100012 = 2237111337274973
BaseRepresentation
bin111000111010001001…
…0100010001100101100
3102200110000212022202110
41301310102202030230
54000241241200022
6132050442324020
711554323465450
oct1616422421454
9380400768673
10122210100012
1147913462a60
121b827ab9610
13b6a8043c60
145cb4a92660
1532a401a00c
hex1c744a232c

122210100012 has 192 divisors, whose sum is σ = 393217219584. Its totient is φ = 28509096960.

The previous prime is 122210099983. The next prime is 122210100029. The reversal of 122210100012 is 210001012221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 306958 + ... + 581930.

It is an arithmetic number, because the mean of its divisors is an integer number (2048006352).

Almost surely, 2122210100012 is an apocalyptic number.

122210100012 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 122210100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196608609792).

122210100012 is an abundant number, since it is smaller than the sum of its proper divisors (271007119572).

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

122210100012 is a wasteful number, since it uses less digits than its factorization.

122210100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275048 (or 275046 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122210100012 its reverse (210001012221), we get a palindrome (332211112233).

It can be divided in two parts, 122210 and 100012, that added together give a palindrome (222222).

The spelling of 122210100012 in words is "one hundred twenty-two billion, two hundred ten million, one hundred thousand, twelve".