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122420233400 = 23521747975169
BaseRepresentation
bin111001000000011010…
…0001000010010111000
3102200222200021012120112
41302000310020102320
54001204034432100
6132123350243452
711562454546313
oct1620064102270
9380880235515
10122420233400
1147a11037313
121b886356588
13b70c73873a
145cd495197a
1532b76c6b35
hex1c80d084b8

122420233400 has 96 divisors (see below), whose sum is σ = 302002992000. Its totient is φ = 45990789120.

The previous prime is 122420233387. The next prime is 122420233433. The reversal of 122420233400 is 4332024221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1591016 + ... + 1666184.

It is an arithmetic number, because the mean of its divisors is an integer number (3145864500).

Almost surely, 2122420233400 is an apocalyptic number.

122420233400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122420233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151001496000).

122420233400 is an abundant number, since it is smaller than the sum of its proper divisors (179582758600).

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

122420233400 is a wasteful number, since it uses less digits than its factorization.

122420233400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75681 (or 75672 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 122420233400 its reverse (4332024221), we get a palindrome (126752257621).

The spelling of 122420233400 in words is "one hundred twenty-two billion, four hundred twenty million, two hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 479 680 850 958 1700 1916 2395 3400 3832 4790 8143 9580 11975 16286 19160 23950 32572 40715 47900 65144 75169 81430 95800 150338 162860 203575 300676 325720 375845 407150 601352 751690 814300 1277873 1503380 1628600 1879225 2555746 3006760 3758450 5111492 6389365 7516900 10222984 12778730 15033800 25557460 31946825 36005951 51114920 63893650 72011902 127787300 144023804 180029755 255574600 288047608 360059510 612101167 720119020 900148775 1224202334 1440238040 1800297550 2448404668 3060505835 3600595100 4896809336 6121011670 7201190200 12242023340 15302529175 24484046680 30605058350 61210116700 122420233400