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12002202001020 = 223572111672222309
BaseRepresentation
bin1010111010100111101011…
…1111001001111001111100
31120111101210002112100022210
42232221322333021321330
53033121002203013040
641305422510340420
72346062516504400
oct256517277117174
946441702470283
1012002202001020
113908118150860
12141a1351ba710
13690a58971c7a
142d6ca421b100
1515c3113d5480
hexaea7afc9e7c

12002202001020 has 288 divisors, whose sum is σ = 42902174568960. Its totient is φ = 2479029020160.

The previous prime is 12002202001003. The next prime is 12002202001061. The reversal of 12002202001020 is 2010020220021.

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 = 12002202000987 and 12002202001005.

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, 4289626 + ... + 6511934.

It is an arithmetic number, because the mean of its divisors is an integer number (148965883920).

Almost surely, 212002202001020 is an apocalyptic number.

12002202001020 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 12002202001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21451087284480).

12002202001020 is an abundant number, since it is smaller than the sum of its proper divisors (30899972567940).

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

12002202001020 is a wasteful number, since it uses less digits than its factorization.

12002202001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222513 (or 2222504 counting only the distinct ones).

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

Adding to 12002202001020 its reverse (2010020220021), we get a palindrome (14012222221041).

The spelling of 12002202001020 in words is "twelve trillion, two billion, two hundred two million, one thousand, twenty".