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112121001120 = 2535233585419
BaseRepresentation
bin110100001101011101…
…1101011010010100000
3101201101220102222221010
41220122323223102200
53314110434013440
6123301354100520
711046314533122
oct1503273532240
9351356388833
10112121001120
11436064226a7
121989111a740
13a75aa5ba5b
1455d8b79212
152db340c580
hex1a1aeeb4a0

112121001120 has 48 divisors (see below), whose sum is σ = 353181155040. Its totient is φ = 29898933504.

The previous prime is 112121001107. The next prime is 112121001121. The reversal of 112121001120 is 21100121211.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1121210011202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112121001096 and 112121001105.

It is not an unprimeable number, because it can be changed into a prime (112121001121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116792230 + ... + 116793189.

It is an arithmetic number, because the mean of its divisors is an integer number (7357940730).

Almost surely, 2112121001120 is an apocalyptic number.

112121001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112121001120 is an abundant number, since it is smaller than the sum of its proper divisors (241060153920).

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

112121001120 is a wasteful number, since it uses less digits than its factorization.

112121001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233585437 (or 233585429 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112121001120 its reverse (21100121211), we get a palindrome (133221122331).

The spelling of 112121001120 in words is "one hundred twelve billion, one hundred twenty-one million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 233585419 467170838 700756257 934341676 1167927095 1401512514 1868683352 2335854190 2803025028 3503781285 3737366704 4671708380 5606050056 7007562570 7474733408 9343416760 11212100112 14015125140 18686833520 22424200224 28030250280 37373667040 56060500560 112121001120