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122002212012 = 22329751466819
BaseRepresentation
bin111000110011111100…
…1100000010010101100
3102122220112200112000220
41301213321200102230
53444330031241022
6132014054451340
711546220456132
oct1614771402254
9378815615026
10122002212012
114781708269a
121b78a363b50
13b673c574c5
145c95219752
153290b5385c
hex1c67e604ac

122002212012 has 48 divisors (see below), whose sum is σ = 294880857600. Its totient is φ = 39212712000.

The previous prime is 122002212001. The next prime is 122002212047. The reversal of 122002212012 is 210212200221.

It is a junction number, because it is equal to n+sod(n) for n = 122002211982 and 122002212000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27939 + ... + 494757.

It is an arithmetic number, because the mean of its divisors is an integer number (6143351200).

Almost surely, 2122002212012 is an apocalyptic number.

122002212012 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 122002212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147440428800).

122002212012 is an abundant number, since it is smaller than the sum of its proper divisors (172878645588).

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

122002212012 is a wasteful number, since it uses less digits than its factorization.

122002212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467606 (or 467604 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122002212012 its reverse (210212200221), we get a palindrome (332214412233).

The spelling of 122002212012 in words is "one hundred twenty-two billion, two million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 751 1502 2253 3004 4506 9012 21779 43558 65337 87116 130674 261348 466819 933638 1400457 1867276 2800914 5601828 13537751 27075502 40613253 54151004 81226506 162453012 350581069 701162138 1051743207 1402324276 2103486414 4206972828 10166851001 20333702002 30500553003 40667404004 61001106006 122002212012