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1210120101120 = 283571723971187
BaseRepresentation
bin10001100111000000110…
…001110101110100000000
311021200112100110111212110
4101213000301311310000
5124311311221213440
62323531013255320
7153266622100020
oct21470061656400
94250470414773
101210120101120
11427233281927
12176642934540
138a163136118
14427da5d1a80
15217283be080
hex119c0c75d00

1210120101120 has 1152 divisors, whose sum is σ = 4934559522816. Its totient is φ = 246235004928.

The previous prime is 1210120101107. The next prime is 1210120101139. The reversal of 1210120101120 is 211010210121.

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 = 1210120101096 and 1210120101105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1019477167 + ... + 1019478353.

It is an arithmetic number, because the mean of its divisors is an integer number (4283471808).

Almost surely, 21210120101120 is an apocalyptic number.

1210120101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210120101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467279761408).

1210120101120 is an abundant number, since it is smaller than the sum of its proper divisors (3724439421696).

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

1210120101120 is a wasteful number, since it uses less digits than its factorization.

1210120101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1341 counting only the distinct ones).

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

Adding to 1210120101120 its reverse (211010210121), we get a palindrome (1421130311241).

The spelling of 1210120101120 in words is "one trillion, two hundred ten billion, one hundred twenty million, one hundred one thousand, one hundred twenty".