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1121200122024 = 2332241353318289
BaseRepresentation
bin10000010100001100101…
…111000010100010101000
310222012000100211112220100
4100110030233002202220
5121332204212401044
62215023333425400
7144001245535323
oct20241457024250
93865010745810
101121200122024
113a255326a4a4
1216136779b260
1381961cbaa88
143c3a2d117ba
151e271c7d869
hex1050cbc28a8

1121200122024 has 96 divisors (see below), whose sum is σ = 3050213423400. Its totient is φ = 372056924160.

The previous prime is 1121200122023. The next prime is 1121200122047. The reversal of 1121200122024 is 4202210021211.

It can be written as a sum of positive squares in 4 ways, for example, as 1055176819524 + 66023302500 = 1027218^2 + 256950^2 .

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 = 1121200121988 and 1121200122006.

It is not an unprimeable number, because it can be changed into a prime (1121200122023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61295472 + ... + 61313760.

Almost surely, 21121200122024 is an apocalyptic number.

It is an amenable number.

1121200122024 is an abundant number, since it is smaller than the sum of its proper divisors (1929013301376).

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

1121200122024 is a wasteful number, since it uses less digits than its factorization.

1121200122024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22075 (or 22068 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1121200122024 its reverse (4202210021211), we get a palindrome (5323410143235).

The spelling of 1121200122024 in words is "one trillion, one hundred twenty-one billion, two hundred million, one hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 241 482 723 964 1446 1928 2169 2892 3533 4338 5784 7066 8676 10599 14132 17352 18289 21198 28264 31797 36578 42396 54867 63594 73156 84792 109734 127188 146312 164601 219468 254376 329202 438936 658404 851453 1316808 1702906 2554359 3405812 4407649 5108718 6811624 7663077 8815298 10217436 13222947 15326154 17630596 20434872 26445894 30652308 35261192 39668841 52891788 61304616 64615037 79337682 105783576 129230074 158675364 193845111 258460148 317350728 387690222 516920296 581535333 775380444 1163070666 1550760888 2326141332 4652282664 15572223917 31144447834 46716671751 62288895668 93433343502 124577791336 140150015253 186866687004 280300030506 373733374008 560600061012 1121200122024