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1122112121120 = 255174110061981
BaseRepresentation
bin10000010101000011000…
…110000010100100100000
310222021100220220220110122
4100111003012002210200
5121341041200333440
62215254033015412
7144032661440654
oct20250306024440
93867326826418
101122112121120
113a2981047961
121615810b4568
1381a78c25c03
143c44c0b2a64
151e2c6d7a7b5
hex10543182920

1122112121120 has 96 divisors (see below), whose sum is σ = 2875392472176. Its totient is φ = 412138700800.

The previous prime is 1122112121077. The next prime is 1122112121131. The reversal of 1122112121120 is 211212112211.

It can be written as a sum of positive squares in 8 ways, for example, as 156224143504 + 965887977616 = 395252^2 + 982796^2 .

It is a super-2 number, since 2×11221121211202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 4919471 + ... + 5142510.

Almost surely, 21122112121120 is an apocalyptic number.

1122112121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122112121120 is an abundant number, since it is smaller than the sum of its proper divisors (1753280351056).

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

1122112121120 is a wasteful number, since it uses less digits than its factorization.

1122112121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10062054 (or 10062046 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 1122112121120 its reverse (211212112211), we get a palindrome (1333324233331).

The spelling of 1122112121120 in words is "one trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 41 68 80 82 85 136 160 164 170 205 272 328 340 410 544 656 680 697 820 1312 1360 1394 1640 2720 2788 3280 3485 5576 6560 6970 11152 13940 22304 27880 55760 111520 10061981 20123962 40247924 50309905 80495848 100619810 160991696 171053677 201239620 321983392 342107354 402479240 412541221 684214708 804958480 825082442 855268385 1368429416 1609916960 1650164884 1710536770 2062706105 2736858832 3300329768 3421073540 4125412210 5473717664 6600659536 6842147080 7013200757 8250824420 13201319072 13684294160 14026401514 16501648840 27368588320 28052803028 33003297680 35066003785 56105606056 66006595360 70132007570 112211212112 140264015140 224422424224 280528030280 561056060560 1122112121120