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1122120112120 = 2357101268714767
BaseRepresentation
bin10000010101000011100…
…100100001011111111000
310222021101110221220001121
4100111003210201133320
5121341100222041440
62215254520155024
7144033116402230
oct20250344413770
93867343856047
101122120112120
113a2985605697
12161583908a74
1381a7a793207
143c44d192cc0
151e2c790834a
hex105439217f8

1122120112120 has 128 divisors (see below), whose sum is σ = 2915302440960. Its totient is φ = 380750169600.

The previous prime is 1122120112081. The next prime is 1122120112129. The reversal of 1122120112120 is 212110212211.

It is a junction number, because it is equal to n+sod(n) for n = 1122120112094 and 1122120112103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122120112129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75980977 + ... + 75995743.

It is an arithmetic number, because the mean of its divisors is an integer number (22775800320).

Almost surely, 21122120112120 is an apocalyptic number.

1122120112120 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 1122120112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457651220480).

1122120112120 is an abundant number, since it is smaller than the sum of its proper divisors (1793182328840).

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

1122120112120 is a wasteful number, since it uses less digits than its factorization.

1122120112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17573 (or 17569 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1122120112120 its reverse (212110212211), we get a palindrome (1334230324331).

The spelling of 1122120112120 in words is "one trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 140 202 280 404 505 707 808 1010 1414 2020 2687 2828 3535 4040 5374 5656 7070 10748 13435 14140 14767 18809 21496 26870 28280 29534 37618 53740 59068 73835 75236 94045 103369 107480 118136 147670 150472 188090 206738 271387 295340 376180 413476 516845 542774 590680 752360 826952 1033690 1085548 1356935 1491467 1899709 2067380 2171096 2713870 2982934 3799418 4134760 5427740 5965868 7457335 7598836 9498545 10440269 10855480 11931736 14914670 15197672 18997090 20880538 29829340 37994180 39678929 41761076 52201345 59658680 75988360 79357858 83522152 104402690 158715716 198394645 208805380 277752503 317431432 396789290 417610760 555505006 793578580 1111010012 1388762515 1587157160 2222020024 2777525030 4007571829 5555050060 8015143658 11110100120 16030287316 20037859145 28053002803 32060574632 40075718290 56106005606 80151436580 112212011212 140265014015 160302873160 224424022424 280530028030 561060056060 1122120112120