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12000020220120 = 23351747915717817
BaseRepresentation
bin1010111010011111100011…
…1100010100100011011000
31120111012011001010101120210
42232213320330110203120
53033102020134020440
641304422211251120
72345654454616212
oct256477074244330
946435131111523
1012000020220120
1139071a8635549
1214198265a9aa0
1369079b94c25a
142d6b385635b2
1515c234ab6a80
hexae9f8f148d8

12000020220120 has 256 divisors, whose sum is σ = 38226492518400. Its totient is φ = 3003184824320.

The previous prime is 12000020220109. The next prime is 12000020220131. The reversal of 12000020220120 is 2102202000021.

It is an interprime number because it is at equal distance from previous prime (12000020220109) and next prime (12000020220131).

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 = 12000020220096 and 12000020220105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1535114452 + ... + 1535122268.

It is an arithmetic number, because the mean of its divisors is an integer number (149322236400).

Almost surely, 212000020220120 is an apocalyptic number.

12000020220120 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 12000020220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19113246259200).

12000020220120 is an abundant number, since it is smaller than the sum of its proper divisors (26226472298280).

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

12000020220120 is a wasteful number, since it uses less digits than its factorization.

12000020220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9898 (or 9894 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12000020220120 its reverse (2102202000021), we get a palindrome (14102222220141).

The spelling of 12000020220120 in words is "twelve trillion, twenty million, two hundred twenty thousand, one hundred twenty".