Search a number
-
+
1211213221020 = 2232511337139983
BaseRepresentation
bin10001101000000001111…
…011110000110010011100
311021210100112100202110200
4101220001323300302130
5124321031041033040
62324231302503500
7153335664336345
oct21500173606234
94253315322420
101211213221020
11427744318000
121768a8a34b90
138a2a874832a
14428a185d0cc
152178e346630
hex11a01ef0c9c

1211213221020 has 576 divisors, whose sum is σ = 4184469918720. Its totient is φ = 283347694080.

The previous prime is 1211213220979. The next prime is 1211213221063. The reversal of 1211213221020 is 201223121121.

1211213221020 is a `hidden beast` number, since 1 + 211 + 213 + 221 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1211213220984 and 1211213221002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1232159449 + ... + 1232160431.

It is an arithmetic number, because the mean of its divisors is an integer number (7264704720).

Almost surely, 21211213221020 is an apocalyptic number.

1211213221020 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 1211213221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092234959360).

1211213221020 is an abundant number, since it is smaller than the sum of its proper divisors (2973256697700).

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

1211213221020 is a wasteful number, since it uses less digits than its factorization.

1211213221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1211213221020 its reverse (201223121121), we get a palindrome (1412436342141).

The spelling of 1211213221020 in words is "one trillion, two hundred eleven billion, two hundred thirteen million, two hundred twenty-one thousand, twenty".