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1120001200120 = 235113541971867
BaseRepresentation
bin10000010011000101010…
…001100000111111111000
310222001220210212000020101
4100103011101200333320
5121322230301400440
62214304344405144
7143626450060225
oct20230521407770
93861823760211
101120001200120
113a1a9852a750
121610921767b4
13818007b322a
143c2cb9c294c
151e2018a769a
hex104c5460ff8

1120001200120 has 64 divisors (see below), whose sum is σ = 2749209724800. Its totient is φ = 407255998080.

The previous prime is 1120001200111. The next prime is 1120001200121. The reversal of 1120001200120 is 210021000211.

It is a Harshad number since it is a multiple of its sum of digits (10).

1120001200120 is a modest number, since divided by 1200120 gives 11200 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1120001200097 and 1120001200106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120001200121) 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, 15548427 + ... + 15620293.

It is an arithmetic number, because the mean of its divisors is an integer number (42956401950).

Almost surely, 21120001200120 is an apocalyptic number.

1120001200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120001200120 is an abundant number, since it is smaller than the sum of its proper divisors (1629208524680).

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

1120001200120 is a wasteful number, since it uses less digits than its factorization.

1120001200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107308 (or 107304 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1120001200120 its reverse (210021000211), we get a palindrome (1330022200331).

The spelling of 1120001200120 in words is "one trillion, one hundred twenty billion, one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 35419 70838 71867 141676 143734 177095 283352 287468 354190 359335 389609 574936 708380 718670 779218 790537 1416760 1437340 1558436 1581074 1948045 2874680 3116872 3162148 3896090 3952685 6324296 7792180 7905370 15584360 15810740 31621480 2545457273 5090914546 10181829092 12727286365 20363658184 25454572730 28000030003 50909145460 56000060006 101818290920 112000120012 140000150015 224000240024 280000300030 560000600060 1120001200120