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120040400400 = 24352100033667
BaseRepresentation
bin110111111001011110…
…1110010011000010000
3102110211211012011102120
41233302331302120100
53431320320303100
6131051254214240
711446466365554
oct1576275623020
9373754164376
10120040400400
11469aa749588
121b321354380
13b42069122b
145b4a861864
1531c87d60a0
hex1bf2f72610

120040400400 has 60 divisors (see below), whose sum is σ = 384529419792. Its totient is φ = 32010773120.

The previous prime is 120040400399. The next prime is 120040400419. The reversal of 120040400400 is 4004040021.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120040400400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50015634 + ... + 50018033.

Almost surely, 2120040400400 is an apocalyptic number.

120040400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120040400400 is an abundant number, since it is smaller than the sum of its proper divisors (264489019392).

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

120040400400 is a wasteful number, since it uses less digits than its factorization.

120040400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100033688 (or 100033677 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 120040400400 its reverse (4004040021), we get a palindrome (124044440421).

The spelling of 120040400400 in words is "one hundred twenty billion, forty million, four hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 100033667 200067334 300101001 400134668 500168335 600202002 800269336 1000336670 1200404004 1500505005 1600538672 2000673340 2400808008 2500841675 3001010010 4001346680 4801616016 5001683350 6002020020 7502525025 8002693360 10003366700 12004040040 15005050050 20006733400 24008080080 30010100100 40013466800 60020200200 120040400400