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1122013212120 = 233253116703367
BaseRepresentation
bin10000010100111101001…
…100101110110111011000
310222021010000210210211100
4100110331030232313120
5121340340340241440
62215240141031400
7144030350641353
oct20247514566730
93867100723740
101122013212120
113a2930231089
12161553b55560
1381a615a4b88
143c43ccc729a
151e2bd33e230
hex1053d32edd8

1122013212120 has 48 divisors (see below), whose sum is σ = 3646542940560. Its totient is φ = 299203523136.

The previous prime is 1122013212119. The next prime is 1122013212121. The reversal of 1122013212120 is 212123102211.

1122013212120 is a `hidden beast` number, since 1 + 1 + 220 + 1 + 321 + 2 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (1122013212119) and next prime (1122013212121).

It is a super-2 number, since 2×11220132121202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1122013212093 and 1122013212102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122013212121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1558351324 + ... + 1558352043.

It is an arithmetic number, because the mean of its divisors is an integer number (75969644595).

Almost surely, 21122013212120 is an apocalyptic number.

1122013212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122013212120 is an abundant number, since it is smaller than the sum of its proper divisors (2524529728440).

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

1122013212120 is a wasteful number, since it uses less digits than its factorization.

1122013212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116703384 (or 3116703377 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1122013212120 its reverse (212123102211), we get a palindrome (1334136314331).

The spelling of 1122013212120 in words is "one trillion, one hundred twenty-two billion, thirteen million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3116703367 6233406734 9350110101 12466813468 15583516835 18700220202 24933626936 28050330303 31167033670 37400440404 46750550505 56100660606 62334067340 74800880808 93501101010 112201321212 124668134680 140251651515 187002202020 224402642424 280503303030 374004404040 561006606060 1122013212120