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12000121122 = 23114711513361
BaseRepresentation
bin10110010110100001…
…10101000100100010
31010222022100022111110
423023100311010202
5144034012333442
65302432124150
7603242226603
oct131320650442
933868308443
1012000121122
1150a8834680
1223aa996656
1311931a79b2
1481ba4ddaa
154a379669c
hex2cb435122

12000121122 has 64 divisors (see below), whose sum is σ = 26770341888. Its totient is φ = 3554880000.

The previous prime is 12000121079. The next prime is 12000121123. The reversal of 12000121122 is 22112100021.

It is a junction number, because it is equal to n+sod(n) for n = 12000121098 and 12000121107.

It is not an unprimeable number, because it can be changed into a prime (12000121123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3568722 + ... + 3572082.

It is an arithmetic number, because the mean of its divisors is an integer number (418286592).

Almost surely, 212000121122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13385170944).

12000121122 is an abundant number, since it is smaller than the sum of its proper divisors (14770220766).

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

12000121122 is a wasteful number, since it uses less digits than its factorization.

12000121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4575.

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

Adding to 12000121122 its reverse (22112100021), we get a palindrome (34112221143).

The spelling of 12000121122 in words is "twelve billion, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 517 1034 1151 1551 2302 3102 3361 3453 6722 6906 10083 12661 20166 25322 36971 37983 54097 73942 75966 108194 110913 157967 162291 221826 315934 324582 473901 595067 947802 1190134 1737637 1785201 3475274 3570402 3868511 5212911 7737022 10425822 11605533 23211066 42553621 85107242 127660863 181820017 255321726 363640034 545460051 1090920102 2000020187 4000040374 6000060561 12000121122