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12301122220002 = 232711171381378041
BaseRepresentation
bin1011001100000001010000…
…0001010010111111100010
31121112222100100122210222100
42303000110001102333202
53103020144242020002
642055020232151230
72406504163444320
oct263002401227742
947488310583870
1012301122220002
113a12970892650
121468058b38516
136b2cb5b7bba5
1430753dba4d10
15164ea8da411c
hexb3014052fe2

12301122220002 has 192 divisors, whose sum is σ = 35209222933248. Its totient is φ = 3004964352000.

The previous prime is 12301122219989. The next prime is 12301122220003. The reversal of 12301122220002 is 20002222110321.

12301122220002 is a `hidden beast` number, since 1 + 230 + 11 + 222 + 200 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12301122220003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32350102 + ... + 32728142.

It is an arithmetic number, because the mean of its divisors is an integer number (183381369444).

Almost surely, 212301122220002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12301122220002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17604611466624).

12301122220002 is an abundant number, since it is smaller than the sum of its proper divisors (22908100713246).

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

12301122220002 is a wasteful number, since it uses less digits than its factorization.

12301122220002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379465 (or 379462 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12301122220002 its reverse (20002222110321), we get a palindrome (32303344330323).

The spelling of 12301122220002 in words is "twelve trillion, three hundred one billion, one hundred twenty-two million, two hundred twenty thousand, two".