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12002111220 = 22351141716247
BaseRepresentation
bin10110010110110000…
…11010111011110100
31010222110002102101210
423023120122323310
5144040020024340
65302542521420
7603265155621
oct131330327364
933873072353
1012002111220
1150a9973890
1223ab596270
131193723778
1481c00b348
154a3a3b180
hex2cb61aef4

12002111220 has 192 divisors, whose sum is σ = 38090207232. Its totient is φ = 2798208000.

The previous prime is 12002111213. The next prime is 12002111257. The reversal of 12002111220 is 2211120021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12002111196 and 12002111205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1918137 + ... + 1924383.

It is an arithmetic number, because the mean of its divisors is an integer number (198386496).

Almost surely, 212002111220 is an apocalyptic number.

12002111220 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 12002111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19045103616).

12002111220 is an abundant number, since it is smaller than the sum of its proper divisors (26088096012).

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

12002111220 is a wasteful number, since it uses less digits than its factorization.

12002111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6382 (or 6380 counting only the distinct ones).

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

Adding to 12002111220 its reverse (2211120021), we get a palindrome (14213231241).

The spelling of 12002111220 in words is "twelve billion, two million, one hundred eleven thousand, two hundred twenty".