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120020211220000 = 2554713793372477
BaseRepresentation
bin11011010010100001100010…
…000011100011111000100000
3120201221211010212202101120011
4123102201202003203320200
5111212402343033020000
61103132305053254304
734165113501545620
oct3322414203437040
9521854125671504
10120020211220000
1135273316349a13
1211564879a94394
1351c7b1b7b9850
14218d01b418880
15dd2003be52ba
hex6d28620e3e20

120020211220000 has 960 divisors, whose sum is σ = 369247526968320. Its totient is φ = 37377220608000.

The previous prime is 120020211219967. The next prime is 120020211220009. The reversal of 120020211220000 is 22112020021.

It is a happy number.

It is a super-2 number, since 2×1200202112200002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (120020211220009) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 48453858762 + ... + 48453861238.

It is an arithmetic number, because the mean of its divisors is an integer number (384632840592).

Almost surely, 2120020211220000 is an apocalyptic number.

120020211220000 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 120020211220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184623763484160).

120020211220000 is an abundant number, since it is smaller than the sum of its proper divisors (249227315748320).

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

120020211220000 is a wasteful number, since it uses less digits than its factorization.

120020211220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120020211220000 its reverse (22112020021), we get a palindrome (120042323240021).

The spelling of 120020211220000 in words is "one hundred twenty trillion, twenty billion, two hundred eleven million, two hundred twenty thousand".