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1121122012300 = 2252191316417027
BaseRepresentation
bin10000010100001000000…
…101000100110010001100
310222011210220212011111121
4100110020011010302030
5121332024213343200
62215011503330324
7143666306604223
oct20241005046214
93864726764447
101121122012300
113a251316a504
121613455b09a4
138194ba6cbc4
143c3967bbcba
151e269e9ee1a
hex10508144c8c

1121122012300 has 144 divisors (see below), whose sum is σ = 2584820810880. Its totient is φ = 420885504000.

The previous prime is 1121122012289. The next prime is 1121122012333. The reversal of 1121122012300 is 32102211211.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159541387 + ... + 159548413.

It is an arithmetic number, because the mean of its divisors is an integer number (17950144520).

Almost surely, 21121122012300 is an apocalyptic number.

1121122012300 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 1121122012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292410405440).

1121122012300 is an abundant number, since it is smaller than the sum of its proper divisors (1463698798580).

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

1121122012300 is a wasteful number, since it uses less digits than its factorization.

1121122012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7832 (or 7825 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1121122012300 its reverse (32102211211), we get a palindrome (1153224223511).

The spelling of 1121122012300 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-two million, twelve thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 131 190 262 380 475 524 641 655 950 1282 1310 1900 2489 2564 2620 3205 3275 4978 6410 6550 7027 9956 12179 12445 12820 13100 14054 16025 24358 24890 28108 32050 35135 48716 49780 60895 62225 64100 70270 83971 121790 124450 133513 140540 167942 175675 243580 248900 267026 304475 335884 351350 419855 534052 608950 667565 702700 839710 920537 1217900 1335130 1595449 1679420 1841074 2099275 2670260 3190898 3337825 3682148 4198550 4504307 4602685 6381796 6675650 7977245 8397100 9008614 9205370 13351300 15954490 17490203 18017228 18410740 22521535 23013425 31908980 34980406 39886225 45043070 46026850 69960812 79772450 85581833 87451015 90086140 92053700 112607675 159544900 171163666 174902030 225215350 342327332 349804060 427909165 437255075 450430700 590064217 855818330 874510150 1180128434 1711636660 1749020300 2139545825 2360256868 2950321085 4279091650 5900642170 8558183300 11211220123 11801284340 14751605425 22422440246 29503210850 44844880492 56056100615 59006421700 112112201230 224224402460 280280503075 560561006150 1121122012300