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1221111121120 = 255111016869437
BaseRepresentation
bin10001110001001111111…
…001010000010011100000
311022201220100000011212021
4101301033321100103200
5130001313421333440
62332545401111224
7154136162162062
oct21611771202340
94281810004767
101221111121120
11430963436930
121787ab788514
138b1c5238257
1443160205732
1521b6d28784a
hex11c4fe504e0

1221111121120 has 96 divisors (see below), whose sum is σ = 3178296618336. Its totient is φ = 439643904000.

The previous prime is 1221111121093. The next prime is 1221111121127. The reversal of 1221111121120 is 211211111221.

It is a super-2 number, since 2×12211111211202 (a number of 25 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 = 1221111121094 and 1221111121103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221111121127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3256959 + ... + 3612478.

It is an arithmetic number, because the mean of its divisors is an integer number (33107256441).

Almost surely, 21221111121120 is an apocalyptic number.

1221111121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221111121120 is an abundant number, since it is smaller than the sum of its proper divisors (1957185497216).

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

1221111121120 is a wasteful number, since it uses less digits than its factorization.

1221111121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6869564 (or 6869556 counting only the distinct ones).

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

Adding to 1221111121120 its reverse (211211111221), we get a palindrome (1432322232341).

The spelling of 1221111121120 in words is "one trillion, two hundred twenty-one billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 101 110 160 176 202 220 352 404 440 505 808 880 1010 1111 1616 1760 2020 2222 3232 4040 4444 5555 8080 8888 11110 16160 17776 22220 35552 44440 88880 177760 6869437 13738874 27477748 34347185 54955496 68694370 75563807 109910992 137388740 151127614 219821984 274777480 302255228 377819035 549554960 604510456 693813137 755638070 1099109920 1209020912 1387626274 1511276140 2418041824 2775252548 3022552280 3469065685 5550505096 6045104560 6938131370 7631944507 11101010192 12090209120 13876262740 15263889014 22202020384 27752525480 30527778028 38159722535 55505050960 61055556056 76319445070 111010101920 122111112112 152638890140 244222224224 305277780280 610555560560 1221111121120