Search a number
-
+
1212120010020 = 22351722346711411
BaseRepresentation
bin10001101000110111111…
…110111000110100100100
311021212200201122102010110
4101220313332320310210
5124324410210310040
62324501254253020
7153400315042143
oct21506776706444
94255621572113
101212120010020
1142806a166aa7
12176b00657170
138a3c157ab7a
144294a06575a
15217e3c64980
hex11a37fb8d24

1212120010020 has 192 divisors, whose sum is σ = 3617740578816. Its totient is φ = 302179153920.

The previous prime is 1212120009979. The next prime is 1212120010039. The reversal of 1212120010020 is 200100212121.

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 = 1212120009978 and 1212120010005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106218115 + ... + 106229525.

It is an arithmetic number, because the mean of its divisors is an integer number (18842398848).

Almost surely, 21212120010020 is an apocalyptic number.

1212120010020 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 1212120010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808870289408).

1212120010020 is an abundant number, since it is smaller than the sum of its proper divisors (2405620568796).

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

1212120010020 is a wasteful number, since it uses less digits than its factorization.

1212120010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12130 (or 12128 counting only the distinct ones).

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

Adding to 1212120010020 its reverse (200100212121), we get a palindrome (1412220222141).

The spelling of 1212120010020 in words is "one trillion, two hundred twelve billion, one hundred twenty million, ten thousand, twenty".