Search a number
-
+
1222001011120 = 245113337401119
BaseRepresentation
bin10001110010000100111…
…011111010100110110000
311022211012100111021110011
4101302010323322212300
5130010124224323440
62333213550344304
7154200216132421
oct21620473724660
94284170437404
101222001011120
1143127a79340a
121789b97bb094
138b307701c96
144320648d648
1521bc14689ea
hex11c84efa9b0

1222001011120 has 80 divisors (see below), whose sum is σ = 2874807786240. Its totient is φ = 483035922432.

The previous prime is 1222001011109. The next prime is 1222001011171. The reversal of 1222001011120 is 211101002221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1222001011120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2845921 + ... + 3247039.

It is an arithmetic number, because the mean of its divisors is an integer number (35935097328).

Almost surely, 21222001011120 is an apocalyptic number.

1222001011120 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 1222001011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437403893120).

1222001011120 is an abundant number, since it is smaller than the sum of its proper divisors (1652806775120).

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

1222001011120 is a wasteful number, since it uses less digits than its factorization.

1222001011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401582 (or 401576 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1222001011120 its reverse (211101002221), we get a palindrome (1433102013341).

The spelling of 1222001011120 in words is "one trillion, two hundred twenty-two billion, one million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 337 452 565 674 904 1130 1348 1685 1808 2260 2696 3370 4520 5392 6740 9040 13480 26960 38081 76162 152324 190405 304648 380810 401119 609296 761620 802238 1523240 1604476 2005595 3046480 3208952 4011190 6417904 8022380 16044760 32089520 45326447 90652894 135177103 181305788 226632235 270354206 362611576 453264470 540708412 675885515 725223152 906528940 1081416824 1351771030 1813057880 2162833648 2703542060 3626115760 5407084120 10814168240 15275012639 30550025278 61100050556 76375063195 122200101112 152750126390 244400202224 305500252780 611000505560 1222001011120