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121120112111220 = 223251105976084157
BaseRepresentation
bin11011100010100001111001…
…010000011110111001110100
3120212211222011212022220121100
4123202201321100132321310
5111333412442200024340
61105333451130450100
734340432201062365
oct3342417120367164
9525758155286540
10121120112111220
1135657829768022
1211701a80593930
135277767ba3b71
1421ca35d683b6c
15e0092ab1a830
hex6e287941ee74

121120112111220 has 72 divisors (see below), whose sum is σ = 367401055740264. Its totient is φ = 32298399214848.

The previous prime is 121120112111107. The next prime is 121120112111231. The reversal of 121120112111220 is 22111211021121.

It is a happy number.

121120112111220 is a `hidden beast` number, since 1 + 211 + 20 + 1 + 1 + 211 + 1 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2555975982564 + 118564136128656 = 1598742^2 + 10888716^2 .

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 = 121120112111193 and 121120112111202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16865382 + ... + 22949538.

It is an arithmetic number, because the mean of its divisors is an integer number (5102792440837).

Almost surely, 2121120112111220 is an apocalyptic number.

121120112111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121120112111220 is an abundant number, since it is smaller than the sum of its proper divisors (246280943629044).

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

121120112111220 is a wasteful number, since it uses less digits than its factorization.

121120112111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6194769 (or 6194764 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121120112111220 its reverse (22111211021121), we get a palindrome (143231323132341).

The spelling of 121120112111220 in words is "one hundred twenty-one trillion, one hundred twenty billion, one hundred twelve million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 110597 221194 331791 442388 552985 663582 995373 1105970 1327164 1658955 1990746 2211940 3317910 3981492 4976865 6084157 6635820 9953730 12168314 18252471 19907460 24336628 30420785 36504942 54757413 60841570 73009884 91262355 109514826 121683140 182524710 219029652 273787065 365049420 547574130 1095148260 672889511729 1345779023458 2018668535187 2691558046916 3364447558645 4037337070374 6056005605561 6728895117290 8074674140748 10093342675935 12112011211122 13457790234580 20186685351870 24224022422244 30280028027805 40373370703740 60560056055610 121120112111220