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1122131212120 = 2351719731189757
BaseRepresentation
bin10000010101000100001…
…110110111011101011000
310222021102020211211101201
4100111010032313131120
5121341111042241440
62215255554123544
7144033312632602
oct20250416673530
93867366754351
101122131212120
113a29908a7246
121615875805b4
1381a7cb7b669
143c450842172
151e2c889c19a
hex105443b7758

1122131212120 has 128 divisors (see below), whose sum is σ = 2852563780800. Its totient is φ = 394732486656.

The previous prime is 1122131212093. The next prime is 1122131212123. The reversal of 1122131212120 is 212121312211.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122131212123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348282 + ... + 1538038.

Almost surely, 21122131212120 is an apocalyptic number.

1122131212120 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 1122131212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426281890400).

1122131212120 is an abundant number, since it is smaller than the sum of its proper divisors (1730432568680).

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

1122131212120 is a wasteful number, since it uses less digits than its factorization.

1122131212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189877 (or 1189873 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 1122131212120 its reverse (212121312211), we get a palindrome (1334252524331).

The spelling of 1122131212120 in words is "one trillion, one hundred twenty-two billion, one hundred thirty-one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 73 76 85 95 136 146 152 170 190 292 323 340 365 380 584 646 680 730 760 1241 1292 1387 1460 1615 2482 2584 2774 2920 3230 4964 5548 6205 6460 6935 9928 11096 12410 12920 13870 23579 24820 27740 47158 49640 55480 94316 117895 188632 235790 471580 943160 1189757 2379514 4759028 5948785 9518056 11897570 20225869 22605383 23795140 40451738 45210766 47590280 80903476 86852261 90421532 101129345 113026915 161806952 173704522 180843064 202258690 226053830 347409044 384291511 404517380 434261305 452107660 694818088 768583022 809034760 868522610 904215320 1476488437 1537166044 1650192959 1737045220 1921457555 2952976874 3074332088 3300385918 3474090440 3842915110 5905953748 6600771836 7382442185 7685830220 8250964795 11811907496 13201543672 14764884370 15371660440 16501929590 28053280303 29529768740 33003859180 56106560606 59059537480 66007718360 112213121212 140266401515 224426242424 280532803030 561065606060 1122131212120