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122703437472 = 25371123231379
BaseRepresentation
bin111001001000110110…
…0011101111010100000
3102201201102011110112020
41302101230131322200
54002244034444342
6132211424301440
711602464003210
oct1622154357240
9381642143466
10122703437472
1148046989770
121b945171880
13b756305605
145d203d2240
1532d24b90ec
hex1c91b1dea0

122703437472 has 288 divisors, whose sum is σ = 419807162880. Its totient is φ = 30484354560.

The previous prime is 122703437443. The next prime is 122703437489. The reversal of 122703437472 is 274734307221.

It is a super-2 number, since 2×1227034374722 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3894679 + ... + 3926057.

It is an arithmetic number, because the mean of its divisors is an integer number (1457663760).

Almost surely, 2122703437472 is an apocalyptic number.

122703437472 is a gapful number since it is divisible by the number (12) 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 122703437472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209903581440).

122703437472 is an abundant number, since it is smaller than the sum of its proper divisors (297103725408).

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

122703437472 is a wasteful number, since it uses less digits than its factorization.

122703437472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31456 (or 31425 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 42.

The spelling of 122703437472 in words is "one hundred twenty-two billion, seven hundred three million, four hundred thirty-seven thousand, four hundred seventy-two".