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20121201400 = 2352192278687
BaseRepresentation
bin10010101111010100…
…010010101011111000
31220221021120221022111
4102233110102223320
5312202011421100
613124335102104
71311423250516
oct225724225370
956837527274
1020121201400
118595991473
123a96671934
131b88832641
14d8c4354b6
157cb70c6ba
hex4af512af8

20121201400 has 72 divisors (see below), whose sum is σ = 49373759520. Its totient is φ = 7624848960.

The previous prime is 20121201323. The next prime is 20121201407. The reversal of 20121201400 is 410212102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121201407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67144 + ... + 211543.

It is an arithmetic number, because the mean of its divisors is an integer number (685746660).

Almost surely, 220121201400 is an apocalyptic number.

20121201400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121201400 is an abundant number, since it is smaller than the sum of its proper divisors (29252558120).

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

20121201400 is a wasteful number, since it uses less digits than its factorization.

20121201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278741 (or 278713 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20121201400 its reverse (410212102), we get a palindrome (20531413502).

The spelling of 20121201400 in words is "twenty billion, one hundred twenty-one million, two hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 361 380 475 722 760 950 1444 1805 1900 2888 3610 3800 7220 9025 14440 18050 36100 72200 278687 557374 1114748 1393435 2229496 2786870 5295053 5573740 6967175 10590106 11147480 13934350 21180212 26475265 27868700 42360424 52950530 55737400 100606007 105901060 132376325 201212014 211802120 264752650 402424028 503030035 529505300 804848056 1006060070 1059010600 2012120140 2515150175 4024240280 5030300350 10060600700 20121201400