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122070293400 = 233521123173743
BaseRepresentation
bin111000110101111110…
…1001101101110011000
3102200002021210102010210
41301223331031232120
53444444443342100
6132024530011120
711551005242136
oct1615375155630
9380067712123
10122070293400
1147851553200
121b7a9116aa0
13b6850a3953
145ca029c756
153296b00c50
hex1c6bf4db98

122070293400 has 576 divisors, whose sum is σ = 435832104960. Its totient is φ = 28207872000.

The previous prime is 122070293309. The next prime is 122070293407. The reversal of 122070293400 is 4392070221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122070293407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 164293429 + ... + 164294171.

It is an arithmetic number, because the mean of its divisors is an integer number (756652960).

Almost surely, 2122070293400 is an apocalyptic number.

122070293400 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 122070293400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217916052480).

122070293400 is an abundant number, since it is smaller than the sum of its proper divisors (313761811560).

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

122070293400 is a wasteful number, since it uses less digits than its factorization.

122070293400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 122070293400 in words is "one hundred twenty-two billion, seventy million, two hundred ninety-three thousand, four hundred".