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1122003101120 = 26511353902977
BaseRepresentation
bin10000010100111100100…
…110001010010111000000
310222021002022210010010212
4100110330212022113000
5121340330243213440
62215235140213252
7144030166000256
oct20247446122700
93867068703125
101122003101120
113a2925555590
1216155069a228
1381a5c474935
143c43b8145d6
151e2bc4e3465
hex1053c98a5c0

1122003101120 has 112 divisors (see below), whose sum is σ = 2922918114528. Its totient is φ = 406844866560.

The previous prime is 1122003101117. The next prime is 1122003101147. The reversal of 1122003101120 is 211013002211.

It is a junction number, because it is equal to n+sod(n) for n = 1122003101095 and 1122003101104.

It is a congruent number.

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, 791072 + ... + 1694048.

Almost surely, 21122003101120 is an apocalyptic number.

1122003101120 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 1122003101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461459057264).

1122003101120 is an abundant number, since it is smaller than the sum of its proper divisors (1800915013408).

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

1122003101120 is a wasteful number, since it uses less digits than its factorization.

1122003101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903358 (or 903348 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1122003101120 its reverse (211013002211), we get a palindrome (1333016103331).

The spelling of 1122003101120 in words is "one trillion, one hundred twenty-two billion, three million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 353 440 704 706 880 1412 1760 1765 2824 3520 3530 3883 5648 7060 7766 11296 14120 15532 19415 22592 28240 31064 38830 56480 62128 77660 112960 124256 155320 248512 310640 621280 902977 1242560 1805954 3611908 4514885 7223816 9029770 9932747 14447632 18059540 19865494 28895264 36119080 39730988 49663735 57790528 72238160 79461976 99327470 144476320 158923952 198654940 288952640 317847904 318750881 397309880 635695808 637501762 794619760 1275003524 1589239520 1593754405 2550007048 3178479040 3187508810 3506259691 5100014096 6375017620 7012519382 10200028192 12750035240 14025038764 17531298455 20400056384 25500070480 28050077528 35062596910 51000140960 56100155056 70125193820 102000281920 112200310112 140250387640 224400620224 280500775280 561001550560 1122003101120