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123121010000 = 245412312101
BaseRepresentation
bin111001010101010010…
…1011000010101010000
3102202210111220100100102
41302222211120111100
54004122434310000
6132321102311532
711616024213632
oct1625245302520
9382714810312
10123121010000
114824066712a
121ba40b885a8
13b7c198a451
145d5da4ca52
153308e9e3d5
hex1caa958550

123121010000 has 50 divisors (see below), whose sum is σ = 298088301522. Its totient is φ = 49248400000.

The previous prime is 123121009981. The next prime is 123121010003. The reversal of 123121010000 is 10121321.

It can be written as a sum of positive squares in 5 ways, for example, as 63119527696 + 60001482304 = 251236^2 + 244952^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123121010003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6146051 + ... + 6166050.

Almost surely, 2123121010000 is an apocalyptic number.

123121010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123121010000 is an abundant number, since it is smaller than the sum of its proper divisors (174967291522).

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

123121010000 is an equidigital number, since it uses as much as digits as its factorization.

123121010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12312129 (or 12312108 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 123121010000 its reverse (10121321), we get a palindrome (123131131321).

The spelling of 123121010000 in words is "one hundred twenty-three billion, one hundred twenty-one million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 12312101 24624202 49248404 61560505 98496808 123121010 196993616 246242020 307802525 492484040 615605050 984968080 1231210100 1539012625 2462420200 3078025250 4924840400 6156050500 7695063125 12312101000 15390126250 24624202000 30780252500 61560505000 123121010000