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121132201120 = 2557234702337
BaseRepresentation
bin111000011010000001…
…0101011010010100000
3102120122220121101110021
41300310002223102200
53441034320413440
6131351455243224
711515524502210
oct1606402532240
9376586541407
10121132201120
114740aa73627
121b586b19514
13b565930b68
145c11868240
15323e59c84a
hex1c340ab4a0

121132201120 has 96 divisors (see below), whose sum is σ = 341276882688. Its totient is φ = 39725334528.

The previous prime is 121132201109. The next prime is 121132201147. The reversal of 121132201120 is 21102231121.

It is a super-2 number, since 2×1211322011202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 121132201094 and 121132201103.

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, 2325409 + ... + 2376928.

It is an arithmetic number, because the mean of its divisors is an integer number (3554967528).

Almost surely, 2121132201120 is an apocalyptic number.

121132201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121132201120 is an abundant number, since it is smaller than the sum of its proper divisors (220144681568).

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

121132201120 is a wasteful number, since it uses less digits than its factorization.

121132201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4702382 (or 4702374 counting only the distinct ones).

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

Adding to 121132201120 its reverse (21102231121), we get a palindrome (142234432241).

The spelling of 121132201120 in words is "one hundred twenty-one billion, one hundred thirty-two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 80 92 112 115 140 160 161 184 224 230 280 322 368 460 560 644 736 805 920 1120 1288 1610 1840 2576 3220 3680 5152 6440 12880 25760 4702337 9404674 18809348 23511685 32916359 37618696 47023370 65832718 75237392 94046740 108153751 131665436 150474784 164581795 188093480 216307502 263330872 329163590 376186960 432615004 526661744 540768755 658327180 752373920 757076257 865230008 1053323488 1081537510 1316654360 1514152514 1730460016 2163075020 2633308720 3028305028 3460920032 3785381285 4326150040 5266617440 6056610056 7570762570 8652300080 12113220112 15141525140 17304600160 24226440224 30283050280 60566100560 121132201120