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1213320211120 = 245192816914111
BaseRepresentation
bin10001101001111111100…
…001010010101010110000
311021222210101000221112001
4101221333201102222300
5124334334433223440
62325220330543344
7153442130425543
oct21517741225260
94258711027461
101213320211120
1142862569a936
12177196597b54
138a553112a34
1442a2160885a
15218642deb9a
hex11a7f852ab0

1213320211120 has 160 divisors (see below), whose sum is σ = 2985047516160. Its totient is φ = 457373952000.

The previous prime is 1213320211099. The next prime is 1213320211153. The reversal of 1213320211120 is 211120233121.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295137865 + ... + 295141975.

It is an arithmetic number, because the mean of its divisors is an integer number (18656546976).

Almost surely, 21213320211120 is an apocalyptic number.

1213320211120 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 1213320211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492523758080).

1213320211120 is an abundant number, since it is smaller than the sum of its proper divisors (1771727305040).

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

1213320211120 is a wasteful number, since it uses less digits than its factorization.

1213320211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5115 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1213320211120 its reverse (211120233121), we get a palindrome (1424440444241).

The spelling of 1213320211120 in words is "one trillion, two hundred thirteen billion, three hundred twenty million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 281 304 380 562 691 760 1124 1382 1405 1520 2248 2764 2810 3455 4111 4496 5339 5528 5620 6910 8222 10678 11056 11240 13129 13820 16444 20555 21356 22480 26258 26695 27640 32888 41110 42712 52516 53390 55280 65645 65776 78109 82220 85424 105032 106780 131290 156218 164440 194171 210064 213560 262580 312436 328880 388342 390545 427120 525160 624872 776684 781090 970855 1050320 1155191 1249744 1553368 1562180 1941710 2310382 2840701 3106736 3124360 3689249 3883420 4620764 5681402 5775955 6248720 7378498 7766840 9241528 11362804 11551910 14203505 14756996 15533680 18446245 18483056 21948629 22725608 23103820 28407010 29513992 36892490 43897258 45451216 46207640 53973319 56814020 59027984 73784980 87794516 92415280 107946638 109743145 113628040 147569960 175589032 215893276 219486290 227256080 269866595 295139920 351178064 431786552 438972580 539733190 798236981 863573104 877945160 1079466380 1596473962 1755890320 2158932760 3192947924 3991184905 4317865520 6385895848 7982369810 12771791696 15166502639 15964739620 30333005278 31929479240 60666010556 63858958480 75832513195 121332021112 151665026390 242664042224 303330052780 606660105560 1213320211120