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12101111220 = 22351137259227
BaseRepresentation
bin10110100010100100…
…00100110110110100
31011020100101010212110
423101102010312310
5144240341024340
65320440451020
7605606514432
oct132122046664
934210333773
1012101111220
11514a841a70
122418779a70
1311ab0a7053
1482b21bd52
154ac594680
hex2d1484db4

12101111220 has 288 divisors, whose sum is σ = 38803484160. Its totient is φ = 2793576960.

The previous prime is 12101111203. The next prime is 12101111261. The reversal of 12101111220 is 2211110121.

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 = 12101111196 and 12101111205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53308747 + ... + 53308973.

It is an arithmetic number, because the mean of its divisors is an integer number (134734320).

Almost surely, 212101111220 is an apocalyptic number.

12101111220 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 12101111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19401742080).

12101111220 is an abundant number, since it is smaller than the sum of its proper divisors (26702372940).

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

12101111220 is a wasteful number, since it uses less digits than its factorization.

12101111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12101111220 its reverse (2211110121), we get a palindrome (14312221341).

It can be divided in two parts, 121011 and 11220, that added together give a palindrome (132231).

The spelling of 12101111220 in words is "twelve billion, one hundred one million, one hundred eleven thousand, two hundred twenty".