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42120401200 = 2452105301003
BaseRepresentation
bin100111001110100100…
…100101000100110000
311000201102222002010021
4213032210211010300
51142230310314300
631203322213224
73020532334333
oct471644450460
9130642862107
1042120401200
1116954960929
1281b6054214
133c83464327
14207804861a
151167c2dd1a
hex9ce925130

42120401200 has 30 divisors (see below), whose sum is σ = 101194264844. Its totient is φ = 16848160320.

The previous prime is 42120401143. The next prime is 42120401231. The reversal of 42120401200 is 210402124.

It is a super-2 number, since 2×421204012002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52650102 + ... + 52650901.

Almost surely, 242120401200 is an apocalyptic number.

42120401200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42120401200 is an abundant number, since it is smaller than the sum of its proper divisors (59073863644).

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

42120401200 is a wasteful number, since it uses less digits than its factorization.

42120401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105301021 (or 105301010 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 42120401200 its reverse (210402124), we get a palindrome (42330803324).

The spelling of 42120401200 in words is "forty-two billion, one hundred twenty million, four hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 105301003 210602006 421204012 526505015 842408024 1053010030 1684816048 2106020060 2632525075 4212040120 5265050150 8424080240 10530100300 21060200600 42120401200