Search a number
-
+
20000121021120 = 2635191975565979
BaseRepresentation
bin1001000110000101001000…
…00110111110001011000000
32121210222210211012000102110
410203002210012332023000
510110140221440133440
6110311532340015320
74132650433465062
oct443024406761300
977728724160373
1020000121021120
116411004a06a99
1222b01a8091540
13b210073a7676
144d2022361732
1524a3b07de080
hex1230a41be2c0

20000121021120 has 224 divisors, whose sum is σ = 67181823878400. Its totient is φ = 5027013218304.

The previous prime is 20000121021031. The next prime is 20000121021131. The reversal of 20000121021120 is 2112012100002.

It is a super-2 number, since 2×200001210211202 (a number of 27 digits) contains 22 as substring.

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 = 20000121021096 and 20000121021105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 810291 + ... + 6376269.

It is an arithmetic number, because the mean of its divisors is an integer number (299918856600).

Almost surely, 220000121021120 is an apocalyptic number.

20000121021120 is a gapful number since it is divisible by the number (20) 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 20000121021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33590911939200).

20000121021120 is an abundant number, since it is smaller than the sum of its proper divisors (47181702857280).

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

20000121021120 is a wasteful number, since it uses less digits than its factorization.

20000121021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5566215 (or 5566205 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20000121021120 its reverse (2112012100002), we get a palindrome (22112133121122).

The spelling of 20000121021120 in words is "twenty trillion, one hundred twenty-one million, twenty-one thousand, one hundred twenty".