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120422880400 = 2452173512
BaseRepresentation
bin111000000100111000…
…0110101010010010000
3102111211110220011100111
41300021300311102100
53433111224133100
6131153240131104
711462122410604
oct1601160652220
9374743804314
10120422880400
1147086638459
121b409466a94
13b4819aa164
145b85585504
1531ec1886ba
hex1c09c35490

120422880400 has 45 divisors (see below), whose sum is σ = 289332645433. Its totient is φ = 48166376000.

The previous prime is 120422880373. The next prime is 120422880401. The reversal of 120422880400 is 4088224021.

The square root of 120422880400 is 347020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 43352236944 + 77070643456 = 208212^2 + 277616^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120422880401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6931725 + ... + 6949075.

Almost surely, 2120422880400 is an apocalyptic number.

120422880400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120422880400 is the 347020-th square number.

It is an amenable number.

120422880400 is an abundant number, since it is smaller than the sum of its proper divisors (168909765033).

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

120422880400 is an frugal number, since it uses more digits than its factorization.

120422880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34720 (or 17358 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The spelling of 120422880400 in words is "one hundred twenty billion, four hundred twenty-two million, eight hundred eighty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 17351 34702 69404 86755 138808 173510 277616 347020 433775 694040 867550 1388080 1735100 3470200 6940400 301057201 602114402 1204228804 1505286005 2408457608 3010572010 4816915216 6021144020 7526430025 12042288040 15052860050 24084576080 30105720100 60211440200 120422880400